Abstract

The field of nonlinear optics has been investigated extensively since its beginning in 1961. This development is in both the theory of nonlinear effects and the theory of nonlinear interactions in nonlinear media, and in the applications of nonlinear devices. The mathematical basis of nonlinear optics is Maxwell’s system of equations governing propagation of electromagnetic waves in a material medium, combined with relations accounting for the nonlinear response of the medium to the electromagnetic field. This review paper presents the contribution of African researchers to recent theoretical advances in the study of nonlinear interactions between electromagnetic waves with different types of nonlinear media, such as optical fibers, metamaterials, and Bose–Einstein condensates, that constitute a fascinating source of temporal, spatial, and spatiotemporal phenomena in the physics of light, and that lead to modulational instability, optical pulse compression, rogue waves, ${\cal P\!T}$-symmetric phenomena, supercontinuum generation, and dissipative solitons.

© 2020 Optical Society of America

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    [Crossref]
  114. P. H. Tatsing, A. Mohamadou, C. G. L. Tiofack, and T. C. Kofané, “Modulational instability in nonlinear oppositely directed coupler with saturable delayed nonlinear response,” Opt. Quantum Electron. 50, 274 (2018).
    [Crossref]
  115. A. Mohamadou, B. E. Ayissi, and T. C. Kofané, “Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms,” Phys. Rev. E 74, 046604 (2006).
    [Crossref]
  116. F. Ii Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic-quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421 (2007).
    [Crossref]
  117. C. G. L. Tiofack, A. Mohamadou, T. C. Kofané, and A. B. Moubissi, “Generation of pulse trains in nonlinear optical fibers through the generalized complex Ginzburg-Landau equation,” Phys. Rev. E 80, 066604 (2009).
    [Crossref]
  118. C. M. Ngabireng, S. Ambomo, P. T. Dinda, and A. B. Moubissi, “Loss effects in the spectra of polarization modulational instability in weakly birefringent optical fibers,” J. Opt. 13, 085201 (2011).
    [Crossref]
  119. L. M. Mandeng and C. Tchawoua, “Impact of input profile, absorption coefficients, and chirp on modulational instability of femtosecond pulses in silicon waveguides under fourth-order dispersion,” J. Opt. Soc. Am. B 30, 1382–1391 (2013).
    [Crossref]
  120. A. Mohamadou, C. G. L. Tiofack, and T. C. Kofané, “Wave train generation of solitons in systems with higher-order nonlinearities,” Phys. Rev. E 82, 016601 (2010).
    [Crossref]
  121. A. Mohamadou, C. G. L. Tiofack, T. Blanchard Ekogo, J. Atangana, T. C. Kofane, and K. Porsezian, “Higher order dispersion effects in the non-instantaneous nonlinear Schrödinger equation,” J. Mod. Opt. 58, 924–931 (2011).
    [Crossref]
  122. L. M. Mandeng, A. Mohamadou, C. Tchawoua, and H. Tagwo, “Spectral compression in supercontinuum generation through the higher order nonlinear Schrödinger equation with non-Kerr terms using subnanojoule femtosecond pulses,” J. Opt. Soc. Am. B 30, 2555–2559 (2013).
    [Crossref]
  123. L. M. Mandeng, C. Tchawoua, H. Tagwo, M. Zghal, R. Cherif, and A. Mohamadou, “Role of the input profile asymmetry and the chirp on the propagation in highly dispersive and nonlinear fibers,” J. Lightwave Technol. 34, 5635–5641 (2016).
    [Crossref]
  124. H. Tagwo, A. Mohamadou, Alim, C. G. L. Tiofack, and T. C. Kofané, “Modulational instability of polarized beams in nonlocal media with stochastic parameters,” Eur. Phys. J. Plus 130, 111 (2015).
    [Crossref]
  125. H. Tagwo, C. G. L. Tiofack, O. Dafounansou, A. Mohamadou, and T. C. Kofané, “Effect of competing cubic-quintic nonlinearities on the modulational instability in nonlocal Kerr-type media,” J. Mod. Opt. 63, 558–565 (2015).
    [Crossref]
  126. M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, S. Pitois, and B. Kibler, “Impact of fourth-order dispersion in the spectra of polarization-modulational instability in highly nonlinear fibers,” Phys. Rev. A 87, 033803 (2013).
    [Crossref]
  127. M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, B. Kibler, F. Smektala, and K. Porsezian, “Suppression of the frequency drift of modulational instability sidebands by means of a fiber system associated with a photon reservoir,” Opt. Lett. 36, 256–258 (2011).
    [Crossref]
  128. M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, B. Kibler, and F. Smektala, “Impact of the material absorption on the modulational instability spectra of wave propagation in high-index glass fibers,” J. Opt. Soc. Am. B 28, 1518–1528 (2011).
    [Crossref]
  129. A. B. Moubissi, P. T. Dinda, and T. C. Kofané, “Note on collective variable theory of nonlinear Schrödinger solitons,” J. Phys. A 33, 2453–2455 (2000).
    [Crossref]
  130. E. Tchomgo Felenou, P. Tchofo Dinda, C. M. Ngabirenga, and K. Nakkeeran, “Collective coordinate theory for light pulses in fibers: the reduced projection operators,” Phys. Lett. A 377, 770–777 (2013).
    [Crossref]
  131. D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Dynamics of localized electromagnetic waves for a cubic-quintic nonlinear Schrödinger equation,” Eur. Phys. J. Plus 130, 51 (2015).
    [Crossref]
  132. D. Douvagai, Y. Salathiel, G. Betchewe, and T. C. Kofané, “Exact traveling wave solutions to the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity,” Math. Method Appl. Sci. 39, 1135–1143 (2016).
    [Crossref]
  133. A. B. Moubissi, S. Nse Biyoghe, C. B. L. Mback, T. G. Ekogo, G. H. Ben-Bolie, T. C. Kofané, and P. Tchofo-Dinda, “Analytical design of soliton molecules in fibers,” J. Opt. 18, 095606 (2016).
    [Crossref]
  134. C. G. L. Tiofack, A. Mohamadou, T. C. Kofané, and K. Porsezian, “Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations,” J. Mod. Opt. 57, 261–272 (2010).
    [Crossref]
  135. S. Youssoufa, V. K. Kuetche, and T. C. Kofané, “Comment on ‘Defocusing complex short-pulse equation and its multi-dark-soliton solution’,” Phys. Rev. E 96, 026201 (2017).
    [Crossref]
  136. S. Y. Doka, J. Mibaile, G. Betchewe, and T. C. Kofané, “Optical chirped soliton in metamaterials,” Nonlinear Dynam. 90, 13–18 (2017).
    [Crossref]
  137. D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Electromagnetic wave solitons in optical metamaterials,” Optik 140, 735–742 (2017).
    [Crossref]
  138. C. Pokam Nguewave, D. Yemele, H. Y. Donkeng, and T. C. Kofané, “Compact bright pulse and ultrashort pulse in the nonlinear Kerr-like media,” Commun. Nonlinear Sci. Numer. Simul. 43, 50–60 (2017).
    [Crossref]
  139. V. K. Kuetche, S. Youssoufa, and T. C. Kofané, “Ultrashort optical waveguide excitations in uniaxial silica fibers: elastic collision scenarios,” Phys. Rev. E 90, 063203 (2014).
    [Crossref]
  140. V. K. Kuetche, T. B. Bouetou, T. C. Kofané, A. B. Moubissi, and K. Porsezian, “Pattern formations in miscellaneous mixtures of Bose-Einstein condensate and the higher-dimensional time-gated Manakov system,” Phys. Rev. A 82, 053619 (2010).
    [Crossref]
  141. L. Mandeng Mandeng, S. I. Fewo, C. Tchawoua, and T. C. Kofané, “Periodic compression of chirped femtosecond pulses in silicon waveguides under fourth-order dispersion,” J. Opt. 16, 085204 (2014).
    [Crossref]
  142. A. Mohamadou, E. Wamba, D. Lissouck, and T. C. Kofané, “Dynamics of kink-dark solitons in Bose-Einstein condensates with both two- and three-body interactions,” Phys. Rev. E 85, 046605 (2012).
    [Crossref]
  143. H. Yépez-Martínez, H. Rezazadeh, A. Souleymanou, S. P. T. Mukam, M. Eslami, V. K. Kuetche, and A. Bekir, “The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing,” Chin. J. Phys. 58, 137–150 (2019).
    [Crossref]
  144. L. Mandeng Mandeng, S. I. Fewo, C. Tchawoua, and T. C. Kofané, “Dynamics of linear compression of chirped femtosecond optical pulses under fourth-order dispersion,” J. Mod. Opt. 61, 662–670 (2014).
    [Crossref]
  145. A. B. Moubissi, T. B. Ekogo, S. D. Bidouba Sanvany, Z. H. M. Moussambi, and A. M. Dikande, “Averaged-dispersion management for ultrashort soliton molecule propagation in lossy fibre systems,” Opt. Commun. 431, 187–195 (2019).
    [Crossref]
  146. P. N. Kameni, A. M. Dikande, and S. Zekeng, “Competing effects of Kerr nonlinearity and K-photon absorptions on continuous-wave laser inscriptions,” Opt. Quantum Electron. 51, 313 (2019).
    [Crossref]

2020 (1)

D. Zanga, S. I. Fewo, C. B. Tabi, and T. C. Kofané, “Modulational instability in weak nonlocal nonlinear media with competing Kerr and non-Kerr nonlinearities,” Commun. Nonlinear Sci. Numer. Simul. 80, 104993 (2020).
[Crossref]

2019 (10)

C. G. L. Tiofack, N. N. Tchepemen, A. Mohamadou, and T. C. Kofané, “Stability of Gaussian-type soliton in the cubic-quintic nonlinear media with fourth-order diffraction and PT-symmetric potentials,” Nonlinear Dynam. 98, 317–326 (2019).
[Crossref]

S. B. Tabeu, F. Fotsa-Ngaffo, and A. Kenfack-Jiotsa, “Non-Hermitian Hamiltonian of two-level systems in complex quaternionic space: an introduction in electronics,” Europhys. Lett. 125, 24002 (2019).
[Crossref]

S. B. Tabeu, F. Fotsa-Ngaffo, and A. Kenfack-Jiotsa, “Imaginary resistor based parity-time symmetry electronics dimers,” Opt. Quantum Electron. 51, 335 (2019).
[Crossref]

H. Yépez-Martínez, H. Rezazadeh, A. Souleymanou, S. P. T. Mukam, M. Eslami, V. K. Kuetche, and A. Bekir, “The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing,” Chin. J. Phys. 58, 137–150 (2019).
[Crossref]

A. B. Moubissi, T. B. Ekogo, S. D. Bidouba Sanvany, Z. H. M. Moussambi, and A. M. Dikande, “Averaged-dispersion management for ultrashort soliton molecule propagation in lossy fibre systems,” Opt. Commun. 431, 187–195 (2019).
[Crossref]

P. N. Kameni, A. M. Dikande, and S. Zekeng, “Competing effects of Kerr nonlinearity and K-photon absorptions on continuous-wave laser inscriptions,” Opt. Quantum Electron. 51, 313 (2019).
[Crossref]

M. Djoko, C. B. Tabi, and T. C. Kofané, “Robust propagation of optical vortex beams, necklace-ring solitons, soliton clusters and uniform-ring beams generated in the frame of the higher-order (3+1)-dimensional cubic-quintic-septic complex Ginzburg-Landau equation,” Phys. Scr. 94, 075501 (2019).
[Crossref]

M. Djoko and T. C. Kofané, “Dissipative light bullets: from stationary light bullets to double, quadruple, sixfold, eightfold and tenfold bullet complexes,” Commun. Nonlinear Sci. Numer. Simul. 68, 169–187 (2019).
[Crossref]

D. D. Estelle Temgoua, T. M. B. Tchoula, M. Maaza, and T. C. Kofané, “Contrast of optical activity and rogue wave propagation in chiral materials,” Nonlinear Dynam. 95, 2691–2702 (2019).
[Crossref]

C. S. Panguetna, C. B. Tabi, and T. C. Kofané, “Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas,” J. Theor. Appl. Phys. 13, 237–249 (2019).
[Crossref]

2018 (5)

D. D. Estelle Temgoua, T. M. B. Tchoula, and T. C. Kofané, “Combined effects of nonparaxiality, optical activity and walk-off on rogue wave propagation in optical fibers filled with chiral materials,” Phys. Rev. E 97, 042205 (2018).
[Crossref]

S. P. T. Mukam, A. Souleymanou, V. K. Kuetche, and T. B. Bouetou, “Generalized Darboux transformation and parameter dependent rogue wave solutions to a nonlinear Schrödinger system,” Nonlinear Dynam. 93, 373–383 (2018).
[Crossref]

M. Djoko and T. C. Kofane, “The cubic-quintic-septic complex Ginzburg-Landau equation formulation of optical pulse propagation in 3D doped Kerr media with higher-order dispersions,” Opt. Commun. 416, 190–201 (2018).
[Crossref]

C. G. L. Tiofack, F. II Ndzana, A. Mohamadou, and T. C. Kofané, “Spatial solitons and stability in the one-dimensional and the two-dimensional generalized nonlinear Schrödinger equation with fourth-order diffraction and parity-time-symmetric potentials,” Phys. Rev. E 97, 032204 (2018).
[Crossref]

P. H. Tatsing, A. Mohamadou, C. G. L. Tiofack, and T. C. Kofané, “Modulational instability in nonlinear oppositely directed coupler with saturable delayed nonlinear response,” Opt. Quantum Electron. 50, 274 (2018).
[Crossref]

2017 (9)

G. J. Ngounga Makoundit, T. B. Ekogo, A. B. Moubissi, G. H. Ben-Bolie, and T. C. Kofané, “Effects of three-body interactions on the instabilities and self-oscillations of the four-wave mixing in Bose-Einstein condensates,” Int. J. Mod. Phys. B 31, 1750150 (2017).
[Crossref]

F. Fotsa-Ngaffo, S. B. Tabeu, S. Tagouegni, and A. Kenfack-Jiotsa, “Thresholdless characterization in space and time reflection symmetry electronic dimers,” J. Opt. Soc. Am. B 34, 658–667 (2017).
[Crossref]

S. Youssoufa, V. K. Kuetche, and T. C. Kofané, “Comment on ‘Defocusing complex short-pulse equation and its multi-dark-soliton solution’,” Phys. Rev. E 96, 026201 (2017).
[Crossref]

S. Y. Doka, J. Mibaile, G. Betchewe, and T. C. Kofané, “Optical chirped soliton in metamaterials,” Nonlinear Dynam. 90, 13–18 (2017).
[Crossref]

D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Electromagnetic wave solitons in optical metamaterials,” Optik 140, 735–742 (2017).
[Crossref]

C. Pokam Nguewave, D. Yemele, H. Y. Donkeng, and T. C. Kofané, “Compact bright pulse and ultrashort pulse in the nonlinear Kerr-like media,” Commun. Nonlinear Sci. Numer. Simul. 43, 50–60 (2017).
[Crossref]

M. Djoko and T. C. Kofané, “Dissipative optical bullets modeled by the cubic-quintic-septic complex Ginzburg-Landau equation with higher-order dispersions,” Commun. Nonlinear Sci. Numer. Simul. 48, 179–199 (2017).
[Crossref]

S. P. T. Mukam, V. K. Kuetche, and T. B. Bouetou, “Localized waves in a general coupled nonlinear Schrödinger equation,” Eur. Phys. J. Plus 132, 182 (2017).
[Crossref]

Y. Chen, Z. Yan, D. Mihalache, and B. A. Malomed, “Families of stable solitons and excitations in the PT-symmetric nonlinear Schrödinger equations with position-dependent effective masses,” Sci. Rep. 7, 1257 (2017).
[Crossref]

2016 (7)

Z. Yan, Y. Chen, and Z. Wen, “Effect of symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media,” Chaos 26, 083109 (2016).
[Crossref]

D. D. Estelle Temgoua and T. C. Kofané, “Influence of optical activity on rogue waves propagating in chiral optical fibers,” Phys. Rev. E 93, 062223 (2016).
[Crossref]

L. M. Mandeng, C. Tchawoua, H. Tagwo, M. Zghal, R. Cherif, and A. Mohamadou, “Role of the input profile asymmetry and the chirp on the propagation in highly dispersive and nonlinear fibers,” J. Lightwave Technol. 34, 5635–5641 (2016).
[Crossref]

D. Douvagai, Y. Salathiel, G. Betchewe, and T. C. Kofané, “Exact traveling wave solutions to the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity,” Math. Method Appl. Sci. 39, 1135–1143 (2016).
[Crossref]

A. B. Moubissi, S. Nse Biyoghe, C. B. L. Mback, T. G. Ekogo, G. H. Ben-Bolie, T. C. Kofané, and P. Tchofo-Dinda, “Analytical design of soliton molecules in fibers,” J. Opt. 18, 095606 (2016).
[Crossref]

K. Zhan, H. Tian, X. Li, X. Xu, Z. Jiao, and Y. Jia, “Solitons in PT-symmetric periodic systems with the logarithmically saturable nonlinearity,” Sci. Rep. 6, 32990 (2016).
[Crossref]

S. V. Suchkov, F. Fotsa-Ngaffo, A. Kenfack-Jiotsa, A. D. Tikeng, T. C. Kofané, Y. S. Kivshar, and A. A. Sukhorukov, “Non-Hermitian trimers: PT-symmetry versus pseudo-Hermiticity,” New J. Phys. 18, 065005 (2016).
[Crossref]

2015 (7)

W. P. Hong and Y. D. Jung, “Gap solitons in photorefractive medium with PT-symmetric optical lattices,” Phys. Lett. A 379, 676–679 (2015).
[Crossref]

O. T. Lekeufack, S. Sabari, S. B. Yamgoué, K. Porsezian, and T. C. Kofané, “Quantum corrections to the modulational instability of Bose-Einstein condensates with two- and three-body interactions,” Chaos Solitons Fractals 76, 111–120 (2015).
[Crossref]

D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Dynamics of localized electromagnetic waves for a cubic-quintic nonlinear Schrödinger equation,” Eur. Phys. J. Plus 130, 51 (2015).
[Crossref]

H. Tagwo, A. Mohamadou, Alim, C. G. L. Tiofack, and T. C. Kofané, “Modulational instability of polarized beams in nonlocal media with stochastic parameters,” Eur. Phys. J. Plus 130, 111 (2015).
[Crossref]

H. Tagwo, C. G. L. Tiofack, O. Dafounansou, A. Mohamadou, and T. C. Kofané, “Effect of competing cubic-quintic nonlinearities on the modulational instability in nonlocal Kerr-type media,” J. Mod. Opt. 63, 558–565 (2015).
[Crossref]

D. D. Estelle Temgoua and T. C. Kofané, “Nonparaxial rogue waves in optical Kerr media,” Phys. Rev. E 91, 063201 (2015).
[Crossref]

Z. Yan, Z. Wen, and C. Hang, “Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials,” Phys. Rev. E 92, 022913 (2015).
[Crossref]

2014 (9)

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Rogue wave train generation in a metamaterial induced by cubic-quintic nonlinearities and second-order dispersion,” Phys. Rev. E 90, 032911 (2014).
[Crossref]

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Optical rogue waves generation in a nonlinear metamaterial,” Opt. Commun. 331, 334–347 (2014).
[Crossref]

B. G. Onana Essama, J. Atangana, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Theoretical model for electromagnetic wave propagation in negative index material induced by cubic-quintic nonlinearities and third-order dispersion effects,” Opt. Quantum Electron. 46, 911–924 (2014).
[Crossref]

V. K. Kuetche, S. Youssoufa, and T. C. Kofané, “Ultrashort optical waveguide excitations in uniaxial silica fibers: elastic collision scenarios,” Phys. Rev. E 90, 063203 (2014).
[Crossref]

L. Mandeng Mandeng, S. I. Fewo, C. Tchawoua, and T. C. Kofané, “Periodic compression of chirped femtosecond pulses in silicon waveguides under fourth-order dispersion,” J. Opt. 16, 085204 (2014).
[Crossref]

L. Mandeng Mandeng, S. I. Fewo, C. Tchawoua, and T. C. Kofané, “Dynamics of linear compression of chirped femtosecond optical pulses under fourth-order dispersion,” J. Mod. Opt. 61, 662–670 (2014).
[Crossref]

A. Mohamadou, P. H. Tatsing, C. G. L. Tiofack, C. B. Tabi, and T. C. Kofané, “Effects of higher-order nonlinearities on modulational instability in nonlinear oppositely directed coupler,” J. Mod. Opt. 61, 1670–1678 (2014).
[Crossref]

N. V. Alexeeva, I. V. Barashenkov, K. Rayanov, and S. Flach, “Actively coupled optical waveguides,” Phys. Rev. A 89, 013848 (2014).
[Crossref]

V. Barashenkov and M. Gianfreda, “An exactly solvable PT-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss,” J. Phys. A 47, 282001 (2014).
[Crossref]

2013 (7)

I. V. Barashenkov, G. S. Jackson, and S. Flach, “Blow-up regimes in the PT-symmetric coupler and the actively coupled dimer,” Phys. Rev. A 88, 053817 (2013).
[Crossref]

L. M. Mandeng, A. Mohamadou, C. Tchawoua, and H. Tagwo, “Spectral compression in supercontinuum generation through the higher order nonlinear Schrödinger equation with non-Kerr terms using subnanojoule femtosecond pulses,” J. Opt. Soc. Am. B 30, 2555–2559 (2013).
[Crossref]

E. Tchomgo Felenou, P. Tchofo Dinda, C. M. Ngabirenga, and K. Nakkeeran, “Collective coordinate theory for light pulses in fibers: the reduced projection operators,” Phys. Lett. A 377, 770–777 (2013).
[Crossref]

M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, S. Pitois, and B. Kibler, “Impact of fourth-order dispersion in the spectra of polarization-modulational instability in highly nonlinear fibers,” Phys. Rev. A 87, 033803 (2013).
[Crossref]

L. M. Mandeng and C. Tchawoua, “Impact of input profile, absorption coefficients, and chirp on modulational instability of femtosecond pulses in silicon waveguides under fourth-order dispersion,” J. Opt. Soc. Am. B 30, 1382–1391 (2013).
[Crossref]

J. Atangana, B. G. Onana Essama, B. Mokhtari, and T. C. Kofané, “Cubic-quintic saturable nonlinearity effects on a light pulse strongly distorted by the fourth-order dispersion,” J. Mod. Opt. 60, 292–300 (2013).
[Crossref]

B. Midya and R. Roychoudhury, “Nonlinear localized modes in PT-symmetric Rosen-Morse potential wells,” Phys. Rev. A 87, 045803 (2013).
[Crossref]

2012 (10)

A. Khare, S. M. Al-Marzoug, and H. Bahlouli, “Solitons in PT-symmetric potential with competing nonlinearity,” Phys. Lett. A 376, 2880–2886 (2012).
[Crossref]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).
[Crossref]

D. A. Zezyulin and V. V. Konotop, “Nonlinear modes in the harmonic PT-symmetric potential,” Phys. Rev. A 85, 043840 (2012).
[Crossref]

A. Mohamadou, E. Wamba, D. Lissouck, and T. C. Kofané, “Dynamics of kink-dark solitons in Bose-Einstein condensates with both two- and three-body interactions,” Phys. Rev. E 85, 046605 (2012).
[Crossref]

N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).
[Crossref]

I. V. Barashenkov, S. V. Suchkov, A. A. Sukhorukov, S. V. Dmitriev, and Y. S. Kivshar, “Breathers in PT-symmetric optical couplers,” Phys. Rev. A 86, 053809 (2012).
[Crossref]

S. Hu and W. Hu, “Optical solitons in the parity-time-symmetric Bessel complex potential,” J. Phys. B 45, 225401 (2012).
[Crossref]

P. H. Tatsing, A. Mohamadou, C. Bouri, C. G. L. Tiofack, and T. C. Kofané, “Modulational instability in nonlinear positive-negative index couplers with saturable nonlinearity,” J. Opt. Soc. Am. B 29, 3218–3225 (2012).
[Crossref]

C. G. L. Tiofack, T. B. Ekogo, H. Moussambi, A. Mohamadou, and T. C. Kofané, “Impact of quantum fluctuations on the modulational instability of a modified Gross-Pitaevskii equation with two-body interaction,” Appl. Math. 3, 844–850 (2012).
[Crossref]

E. Wamba, T. C. Kofané, and A. Mohamadou, “Matter-wave solutions of Bose-Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields,” Chin. Phys. B 21, 070504 (2012).
[Crossref]

2011 (11)

A. Mohamadou, E. Wamba, S. Y. Doka, T. B. Ekogo, and T. C. Kofané, “Generation of matter-wave solitons of the Gross-Pitaevskii equation with a time-dependent complicated potential,” Phys. Rev. A 84, 023602 (2011).
[Crossref]

E. Wamba, A. Mohamadou, T. B. Ekogo, J. Atangana, and T. C. Kofané, “Effects of three-body interactions in the parametric and modulational instabilities of Bose-Einstein condensates,” Phys. Lett. A 375, 4288–4295 (2011).
[Crossref]

M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, B. Kibler, F. Smektala, and K. Porsezian, “Suppression of the frequency drift of modulational instability sidebands by means of a fiber system associated with a photon reservoir,” Opt. Lett. 36, 256–258 (2011).
[Crossref]

M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, B. Kibler, and F. Smektala, “Impact of the material absorption on the modulational instability spectra of wave propagation in high-index glass fibers,” J. Opt. Soc. Am. B 28, 1518–1528 (2011).
[Crossref]

C. M. Ngabireng, S. Ambomo, P. T. Dinda, and A. B. Moubissi, “Loss effects in the spectra of polarization modulational instability in weakly birefringent optical fibers,” J. Opt. 13, 085201 (2011).
[Crossref]

A. Mohamadou, C. G. L. Tiofack, T. Blanchard Ekogo, J. Atangana, T. C. Kofane, and K. Porsezian, “Higher order dispersion effects in the non-instantaneous nonlinear Schrödinger equation,” J. Mod. Opt. 58, 924–931 (2011).
[Crossref]

H. Bailung, S. K. Sharma, and Y. Nakamura, “Observation of Peregrine soliton in a multicomponent plasmas with negative ions,” Phys. Rev. Lett. 107, 255005 (2011).
[Crossref]

S. Hu, X. Ma, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).
[Crossref]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).
[Crossref]

F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).
[Crossref]

S. I. Fewo, H. Moussambi, and T. C. Kofané, “Analysis of non-paraxial solitons using a collective variable approach,” Phys. Scr. 84, 035002 (2011).
[Crossref]

2010 (8)

C. G. Latchio Tiofack, A. Mohamadou, and T. C. Kofané, “Modulational instability in optical fiber with stochastic parameters and noninstantaneous response,” Opt. Commun. 283, 1096–1101 (2010).
[Crossref]

Z. Yan, “Nonautonomous ‘rogons’ in the inhomogeneous nonlinear Schrödinger equation with variable coefficients,” Phys. Lett. A 374, 672–679 (2010).
[Crossref]

M. Shats, H. Punzmann, and H. Xia, “Capillary rogue waves,” Phys. Rev. Lett. 104, 104503 (2010).
[Crossref]

V. K. Kuetche, T. B. Bouetou, T. C. Kofané, A. B. Moubissi, and K. Porsezian, “Pattern formations in miscellaneous mixtures of Bose-Einstein condensate and the higher-dimensional time-gated Manakov system,” Phys. Rev. A 82, 053619 (2010).
[Crossref]

A. Mohamadou, C. G. L. Tiofack, and T. C. Kofané, “Wave train generation of solitons in systems with higher-order nonlinearities,” Phys. Rev. E 82, 016601 (2010).
[Crossref]

C. G. L. Tiofack, A. Mohamadou, T. C. Kofané, and K. Porsezian, “Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations,” J. Mod. Opt. 57, 261–272 (2010).
[Crossref]

C. R. Phillips and M. M. Fejer, “Stability of the singly resonant optical parametric oscillator,” J. Opt. Soc. Am. B 27, 2687–2698 (2010).
[Crossref]

R. V. J. Raja, K. Porsezian, and K. Nithyanandan, “Modulational-instability-induced supercontinuum generation with saturable nonlinear response,” Phys. Rev. A 82, 013825 (2010).
[Crossref]

2009 (6)

C. G. L. Tiofack, A. Mohamadou, T. C. Kofané, and A. B. Moubissi, “Generation of pulse trains in nonlinear optical fibers through the generalized complex Ginzburg-Landau equation,” Phys. Rev. E 80, 066604 (2009).
[Crossref]

Y. V. Bludov, V. V. Konotop, and N. Akhmediev, “Matter rogue waves,” Phys. Rev. A 80, 033610 (2009).
[Crossref]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).
[Crossref]

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, “Non-Gaussian statistics and extreme waves in a nonlinear optical cavity,” Phys. Rev. Lett. 103, 173901 (2009).
[Crossref]

A. Kamagate, P. Grelu, P. Tchofo-Dinda, J. M. Soto-Crespo, and N. Akhmediev, “Stationary and pulsating dissipative light bullets from a collective variable approach,” Phys. Rev. E 79, 026609 (2009).
[Crossref]

J. Atangana, A. Kamagate, P. Tchofo Dinda, A. Labruyère, and T. C. Kofané, “Effective characterization of the phase and intensity profiles of asymmetrically distorted light pulses in optical fiber systems,” J. Opt. Soc. Am. B 26, 371–383 (2009).
[Crossref]

2008 (5)

S. I. Fewo, C. M. Ngabireng, and T. C. Kofané, “Ultrashort optical solitons in the cubic-quintic complex Ginzburg-Landau equation with higher-order terms,” J. Phys. Soc. Jpn. 77, 074401 (2008).
[Crossref]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Analytical solutions to a class of nonlinear Schrödinger equations with PT-like potentials,” J. Phys. A 41, 244019 (2008).
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A. N. Ganshin, V. B. Efimov, G. V. Kolmakov, L. P. Mezhov-Deglin, and P. V. E. McClintock, “Observation of an inverse energy cascade in developed acoustic turbulence in superfluid helium,” Phys. Rev. Lett. 101, 065303 (2008).
[Crossref]

E. Wamba, A. Mohamadou, and T. C. Kofané, “Modulational instability of a trapped Bose-Einstein condensate with two- and three-body interactions,” Phys. Rev. E 77, 046216 (2008).
[Crossref]

E. Wamba, A. Mohamadou, and T. C. Kofané, “A variational approach to the modulational instability of a Bose-Einstein condensate in a parabolic trap,” J. Phys. B 41, 225403 (2008).
[Crossref]

2007 (3)

F. Ii Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic-quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421 (2007).
[Crossref]

A. Ankiewicz, N. Akhmediev, and N. Devine, “Dissipative solitons with a Lagrangian approach,” Opt. Fiber Technol. 13, 91–97 (2007).
[Crossref]

D. Z. Chen, T. J. Xia, G. Wellbrock, P. Mamyshev, S. Penticost, G. Grosso, A. Puc, P. Perrier, and H. Fevrier, “New field trial distance record of 3040 km on wide reach WDM with 10 and 40 Gb/s transmission including OC-768 traffic without regeneration,” J. Lightwave Technol. 25, 28–37 (2007).
[Crossref]

2006 (5)

M. Funabashi, Z. Zhu, Z. Pan, B. Xian, L. Paraschis, D. L. Harris, and S. J. B. Yoo, “Cascadability of optical 3R regeneration for NRZ format investigated in recirculating loop transmission over field fibers,” IEEE Photon. Technol. Lett. 18, 2081–2083 (2006).
[Crossref]

V. Skarka and N. B. Aleksić, “Stability criterion for dissipative soliton solutions of the one-, two-, and three-dimensional complex cubic-quintic Ginzburg-Landau equations,” Phys. Rev. Lett. 96, 013903 (2006).
[Crossref]

E. Tsoy, A. Ankiewicz, and N. Akhmediev, “Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation,” Phys. Rev. E 73, 036621 (2006).
[Crossref]

A. Mohamadou, B. E. Ayissi, and T. C. Kofané, “Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms,” Phys. Rev. E 74, 046604 (2006).
[Crossref]

S. Liu, “Four-wave mixing and modulation instability of continuous optical waves in single-mode optical fibers,” Appl. Phys. Lett. 89, 171118 (2006).
[Crossref]

2005 (2)

C. M. Ngabireng, P. Tchofo Dinda, A. Tonello, K. Nakkeeran, P. K. A. Wai, and T. C. Kofané, “Radiating and nonradiating behavior of hyperbolic-secant, raised-cosine, and Gaussian input light pulses in dispersion-managed fiber systems,” Phys. Rev. E 72, 036613 (2005).
[Crossref]

P. Müller, C. Garrett, and A. Osborne, “Rogue waves,” Oceanography 18, 66–75 (2005).
[Crossref]

2004 (3)

2003 (6)

J. Fatome, S. Pitois, P. Tchofo Dinda, and G. Millot, “Experimental demonstration of 160-GHz densely dispersion-managed soliton transmission in a single channel over 896 km of commercial fibres,” Opt. Express 11, 1553–1558 (2003).
[Crossref]

H. Masuda, H. Kawakami, S. Kuwahara, A. Hirano, K. Sato, and Y. Miyamoto, “1.28 Tbit/s (32 × 43 Gbit/s) field trial over 528 km (6 × 88 km) DSF using L-band remotely-pumped EDFA/distributed Raman hybrid inline amplifiers,” Electron. Lett. 39, 1668–1670 (2003).
[Crossref]

A. Ackaert, P. Demeester, P. Lagasse, C. Politi, M. O’Mahony, T. Berg, B. Tromborg, J. Sanitair, E. Patzak, S. Rao, P. Vogel, C. Minot, and D. Erasme, “EuropeanIST-programme roadmap for optical communications generated by theOPTIMIST thematic network,” Ann. Telecommun. 58, 1550–1585 (2003).
[Crossref]

S. Bigo, Y. Frignac, J.-C. Antona, and G. Charlet, “Design of multi-terabit/s terrestrial transmission systems facilitated by simple analytical tools,” Ann. Telecommun. 58, 1757–1784 (2003).
[Crossref]

P. Tchofo Dinda, A. Labruyere, K. Nakkeeran, J. Fatome, A. B. Moubissi, S. Pitois, and G. Millot, “On the designing of densely dispersion-managed optical fiber systems for ultrafast optical communication,” Ann. Telecommun. 58, 1785–1808 (2003).
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F. Matera, V. Eramo, A. Schiffini, M. Guglielmucci, and M. Settembre, “Numerical investigation on design of wide geographical optical-transport networks based on n × 40-Gb/s transmission,” J. Lightwave Technol. 21, 456–465 (2003).
[Crossref]

2002 (1)

A. B. Moubissi, K. Nakkeeran, P. Tchofo Dinda, and S. Wabnitz, “Average dispersion decreasing densely dispersion managed fiber transmission systems,” IEEE Photon. Technol. Lett. 14, 1279–1281 (2002).
[Crossref]

2001 (4)

K. Nakkeeran, A. B. Moubissi, P. Tchofo Dinda, and S. Wabnitz, “Analytical method for designing dispersion-managed fiber systems,” Opt. Lett. 26, 1544–1546 (2001).
[Crossref]

L. J. Richardson, W. Forysiak, and N. J. Doran, “Transoceanic 160-Gbit/s single-channel transmission using short-period dispersion management,” IEEE Photon. Technol. Lett. 13, 209–211 (2001).
[Crossref]

P. Tchofo Dinda, A. B. Moubissi, and K. Nakkeeran, “Collective variable theory for optical solitons in fibers,” Phys. Rev. E 64, 016608 (2001).
[Crossref]

J. M. Chávez Boggio, S. Tenenbaum, and H. L. Fragnito, “Amplification of broadband noise pumped by two lasers in optical fibers,” J. Opt. Soc. Am. B 18, 1428–1435 (2001).
[Crossref]

2000 (1)

A. B. Moubissi, P. T. Dinda, and T. C. Kofané, “Note on collective variable theory of nonlinear Schrödinger solitons,” J. Phys. A 33, 2453–2455 (2000).
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1999 (1)

R. Radhakrishnan, A. Kundu, and M. Lakshmanan, “Coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity: integrability and soliton interaction in non-Kerr media,” Phys. Rev. E 60, 3314–3323 (1999).
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1998 (2)

C. Martijn de Sterke, “Theory of modulational instability in fiber Bragg gratings,” J. Opt. Soc. Am. B 15, 2660–2667 (1998).
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H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, “Transverse dynamics of optical parametric oscillators in presence of walk-off,” Eur. Phys. J. D 3, 275–288 (1998).
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1997 (1)

A. N. W. Hone, “Crum transformation and rational solutions of the non-focusing nonlinear Schrödinger equation,” J. Phys. A 30, 7473–7483 (1997).
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1996 (1)

R. Radhakrishnan and M. Lakshmanan, “Exact soliton solutions to coupled nonlinear Schrödinger equations with higher-order effects,” Phys. Rev. E 54, 2949–2955 (1996).
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1994 (1)

M. Hisakado, T. Iizuka, and M. Wadati, “Coupled hybrid nonlinear Schrödinger equation and optical solitons,” J. Phys. Soc. Jpn. 63, 2887–2894 (1994).
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1989 (1)

S. Sudo, H. Itoh, K. Okamoto, and K. Kubodera, “Generation of 5 THz repetition optical pulses by modulation instability in optical fibers,” Appl. Phys. Lett. 54, 993–994 (1989).
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1987 (2)

Y. Kodama and A. Hasegawa, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE J. Quantum Electron. 23, 510–524 (1987).
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N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, “Exact first-order solutions of the nonlinear Schrödinger equation,” Theor. Math. Phys. 72, 809–818 (1987).
[Crossref]

1986 (1)

N. N. Akhmediev and V. I. Korneev, “Modulation instability and periodic solutions of the nonlinear Schrödinger equation,” Theor. Math. Phys. 69, 1089–1093 (1986).
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1983 (1)

D. H. Peregrine, “Water waves, nonlinear Schrödinger equations and their solutions,” J. Aust. Math. Soc. Ser. B 25, 16–43 (1983).
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1979 (1)

Y. C. Ma, “The perturbed plane-wave solutions of the cubic Schrödinger equation,” Stud. Appl. Math. 60, 43–58 (1979).
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1973 (2)

A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23, 142–144 (1973).
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A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersion,” Appl. Phys. Lett. 23, 171–172 (1973).
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Abdullaev, F. K.

F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).
[Crossref]

Ackaert, A.

A. Ackaert, P. Demeester, P. Lagasse, C. Politi, M. O’Mahony, T. Berg, B. Tromborg, J. Sanitair, E. Patzak, S. Rao, P. Vogel, C. Minot, and D. Erasme, “EuropeanIST-programme roadmap for optical communications generated by theOPTIMIST thematic network,” Ann. Telecommun. 58, 1550–1585 (2003).
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Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, 2003).

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Akhmediev, N.

A. Kamagate, P. Grelu, P. Tchofo-Dinda, J. M. Soto-Crespo, and N. Akhmediev, “Stationary and pulsating dissipative light bullets from a collective variable approach,” Phys. Rev. E 79, 026609 (2009).
[Crossref]

Y. V. Bludov, V. V. Konotop, and N. Akhmediev, “Matter rogue waves,” Phys. Rev. A 80, 033610 (2009).
[Crossref]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).
[Crossref]

A. Ankiewicz, N. Akhmediev, and N. Devine, “Dissipative solitons with a Lagrangian approach,” Opt. Fiber Technol. 13, 91–97 (2007).
[Crossref]

E. Tsoy, A. Ankiewicz, and N. Akhmediev, “Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation,” Phys. Rev. E 73, 036621 (2006).
[Crossref]

Akhmediev, N. N.

N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, “Exact first-order solutions of the nonlinear Schrödinger equation,” Theor. Math. Phys. 72, 809–818 (1987).
[Crossref]

N. N. Akhmediev and V. I. Korneev, “Modulation instability and periodic solutions of the nonlinear Schrödinger equation,” Theor. Math. Phys. 69, 1089–1093 (1986).
[Crossref]

N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman and Hall, 1997).

Aleksic, N. B.

V. Skarka and N. B. Aleksić, “Stability criterion for dissipative soliton solutions of the one-, two-, and three-dimensional complex cubic-quintic Ginzburg-Landau equations,” Phys. Rev. Lett. 96, 013903 (2006).
[Crossref]

Alexeeva, N. V.

N. V. Alexeeva, I. V. Barashenkov, K. Rayanov, and S. Flach, “Actively coupled optical waveguides,” Phys. Rev. A 89, 013848 (2014).
[Crossref]

N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).
[Crossref]

Alim,

H. Tagwo, A. Mohamadou, Alim, C. G. L. Tiofack, and T. C. Kofané, “Modulational instability of polarized beams in nonlocal media with stochastic parameters,” Eur. Phys. J. Plus 130, 111 (2015).
[Crossref]

Al-Marzoug, S. M.

A. Khare, S. M. Al-Marzoug, and H. Bahlouli, “Solitons in PT-symmetric potential with competing nonlinearity,” Phys. Lett. A 376, 2880–2886 (2012).
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Ambomo, S.

C. M. Ngabireng, S. Ambomo, P. T. Dinda, and A. B. Moubissi, “Loss effects in the spectra of polarization modulational instability in weakly birefringent optical fibers,” J. Opt. 13, 085201 (2011).
[Crossref]

Ankiewicz, A.

A. Ankiewicz, N. Akhmediev, and N. Devine, “Dissipative solitons with a Lagrangian approach,” Opt. Fiber Technol. 13, 91–97 (2007).
[Crossref]

E. Tsoy, A. Ankiewicz, and N. Akhmediev, “Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation,” Phys. Rev. E 73, 036621 (2006).
[Crossref]

N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman and Hall, 1997).

Antona, J.-C.

S. Bigo, Y. Frignac, J.-C. Antona, and G. Charlet, “Design of multi-terabit/s terrestrial transmission systems facilitated by simple analytical tools,” Ann. Telecommun. 58, 1757–1784 (2003).
[Crossref]

Arecchi, F. T.

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, “Non-Gaussian statistics and extreme waves in a nonlinear optical cavity,” Phys. Rev. Lett. 103, 173901 (2009).
[Crossref]

Atangana, J.

B. G. Onana Essama, J. Atangana, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Theoretical model for electromagnetic wave propagation in negative index material induced by cubic-quintic nonlinearities and third-order dispersion effects,” Opt. Quantum Electron. 46, 911–924 (2014).
[Crossref]

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Rogue wave train generation in a metamaterial induced by cubic-quintic nonlinearities and second-order dispersion,” Phys. Rev. E 90, 032911 (2014).
[Crossref]

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Optical rogue waves generation in a nonlinear metamaterial,” Opt. Commun. 331, 334–347 (2014).
[Crossref]

J. Atangana, B. G. Onana Essama, B. Mokhtari, and T. C. Kofané, “Cubic-quintic saturable nonlinearity effects on a light pulse strongly distorted by the fourth-order dispersion,” J. Mod. Opt. 60, 292–300 (2013).
[Crossref]

A. Mohamadou, C. G. L. Tiofack, T. Blanchard Ekogo, J. Atangana, T. C. Kofane, and K. Porsezian, “Higher order dispersion effects in the non-instantaneous nonlinear Schrödinger equation,” J. Mod. Opt. 58, 924–931 (2011).
[Crossref]

E. Wamba, A. Mohamadou, T. B. Ekogo, J. Atangana, and T. C. Kofané, “Effects of three-body interactions in the parametric and modulational instabilities of Bose-Einstein condensates,” Phys. Lett. A 375, 4288–4295 (2011).
[Crossref]

J. Atangana, A. Kamagate, P. Tchofo Dinda, A. Labruyère, and T. C. Kofané, “Effective characterization of the phase and intensity profiles of asymmetrically distorted light pulses in optical fiber systems,” J. Opt. Soc. Am. B 26, 371–383 (2009).
[Crossref]

Ayissi, B. E.

A. Mohamadou, B. E. Ayissi, and T. C. Kofané, “Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms,” Phys. Rev. E 74, 046604 (2006).
[Crossref]

Bahlouli, H.

A. Khare, S. M. Al-Marzoug, and H. Bahlouli, “Solitons in PT-symmetric potential with competing nonlinearity,” Phys. Lett. A 376, 2880–2886 (2012).
[Crossref]

Bailung, H.

H. Bailung, S. K. Sharma, and Y. Nakamura, “Observation of Peregrine soliton in a multicomponent plasmas with negative ions,” Phys. Rev. Lett. 107, 255005 (2011).
[Crossref]

Barashenkov, I. V.

N. V. Alexeeva, I. V. Barashenkov, K. Rayanov, and S. Flach, “Actively coupled optical waveguides,” Phys. Rev. A 89, 013848 (2014).
[Crossref]

I. V. Barashenkov, G. S. Jackson, and S. Flach, “Blow-up regimes in the PT-symmetric coupler and the actively coupled dimer,” Phys. Rev. A 88, 053817 (2013).
[Crossref]

N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).
[Crossref]

I. V. Barashenkov, S. V. Suchkov, A. A. Sukhorukov, S. V. Dmitriev, and Y. S. Kivshar, “Breathers in PT-symmetric optical couplers,” Phys. Rev. A 86, 053809 (2012).
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Barashenkov, V.

V. Barashenkov and M. Gianfreda, “An exactly solvable PT-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss,” J. Phys. A 47, 282001 (2014).
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Bekir, A.

H. Yépez-Martínez, H. Rezazadeh, A. Souleymanou, S. P. T. Mukam, M. Eslami, V. K. Kuetche, and A. Bekir, “The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing,” Chin. J. Phys. 58, 137–150 (2019).
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Ben-Bolie, G. H.

G. J. Ngounga Makoundit, T. B. Ekogo, A. B. Moubissi, G. H. Ben-Bolie, and T. C. Kofané, “Effects of three-body interactions on the instabilities and self-oscillations of the four-wave mixing in Bose-Einstein condensates,” Int. J. Mod. Phys. B 31, 1750150 (2017).
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A. B. Moubissi, S. Nse Biyoghe, C. B. L. Mback, T. G. Ekogo, G. H. Ben-Bolie, T. C. Kofané, and P. Tchofo-Dinda, “Analytical design of soliton molecules in fibers,” J. Opt. 18, 095606 (2016).
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Bennion, I.

Berg, T.

A. Ackaert, P. Demeester, P. Lagasse, C. Politi, M. O’Mahony, T. Berg, B. Tromborg, J. Sanitair, E. Patzak, S. Rao, P. Vogel, C. Minot, and D. Erasme, “EuropeanIST-programme roadmap for optical communications generated by theOPTIMIST thematic network,” Ann. Telecommun. 58, 1550–1585 (2003).
[Crossref]

Betchewe, G.

S. Y. Doka, J. Mibaile, G. Betchewe, and T. C. Kofané, “Optical chirped soliton in metamaterials,” Nonlinear Dynam. 90, 13–18 (2017).
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D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Electromagnetic wave solitons in optical metamaterials,” Optik 140, 735–742 (2017).
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D. Douvagai, Y. Salathiel, G. Betchewe, and T. C. Kofané, “Exact traveling wave solutions to the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity,” Math. Method Appl. Sci. 39, 1135–1143 (2016).
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D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Dynamics of localized electromagnetic waves for a cubic-quintic nonlinear Schrödinger equation,” Eur. Phys. J. Plus 130, 51 (2015).
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Bidouba Sanvany, S. D.

A. B. Moubissi, T. B. Ekogo, S. D. Bidouba Sanvany, Z. H. M. Moussambi, and A. M. Dikande, “Averaged-dispersion management for ultrashort soliton molecule propagation in lossy fibre systems,” Opt. Commun. 431, 187–195 (2019).
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Bigo, S.

S. Bigo, Y. Frignac, J.-C. Antona, and G. Charlet, “Design of multi-terabit/s terrestrial transmission systems facilitated by simple analytical tools,” Ann. Telecommun. 58, 1757–1784 (2003).
[Crossref]

Biya Motto, F.

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Optical rogue waves generation in a nonlinear metamaterial,” Opt. Commun. 331, 334–347 (2014).
[Crossref]

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Rogue wave train generation in a metamaterial induced by cubic-quintic nonlinearities and second-order dispersion,” Phys. Rev. E 90, 032911 (2014).
[Crossref]

Blanchard Ekogo, T.

A. Mohamadou, C. G. L. Tiofack, T. Blanchard Ekogo, J. Atangana, T. C. Kofane, and K. Porsezian, “Higher order dispersion effects in the non-instantaneous nonlinear Schrödinger equation,” J. Mod. Opt. 58, 924–931 (2011).
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Nonlinear Dynam. (4)

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B. G. Onana Essama, J. Atangana, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Theoretical model for electromagnetic wave propagation in negative index material induced by cubic-quintic nonlinearities and third-order dispersion effects,” Opt. Quantum Electron. 46, 911–924 (2014).
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Optik (1)

D. Douvagai, Y. Salathiel, G. Betchewe, S. Y. Doka, and T. C. Kofané, “Electromagnetic wave solitons in optical metamaterials,” Optik 140, 735–742 (2017).
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Phys. Lett. A (5)

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E. Wamba, A. Mohamadou, T. B. Ekogo, J. Atangana, and T. C. Kofané, “Effects of three-body interactions in the parametric and modulational instabilities of Bose-Einstein condensates,” Phys. Lett. A 375, 4288–4295 (2011).
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A. Khare, S. M. Al-Marzoug, and H. Bahlouli, “Solitons in PT-symmetric potential with competing nonlinearity,” Phys. Lett. A 376, 2880–2886 (2012).
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A. Mohamadou, E. Wamba, S. Y. Doka, T. B. Ekogo, and T. C. Kofané, “Generation of matter-wave solitons of the Gross-Pitaevskii equation with a time-dependent complicated potential,” Phys. Rev. A 84, 023602 (2011).
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R. V. J. Raja, K. Porsezian, and K. Nithyanandan, “Modulational-instability-induced supercontinuum generation with saturable nonlinear response,” Phys. Rev. A 82, 013825 (2010).
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V. K. Kuetche, T. B. Bouetou, T. C. Kofané, A. B. Moubissi, and K. Porsezian, “Pattern formations in miscellaneous mixtures of Bose-Einstein condensate and the higher-dimensional time-gated Manakov system,” Phys. Rev. A 82, 053619 (2010).
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M. N. Zambo Abou’ou, P. Tchofo Dinda, C. M. Ngabireng, S. Pitois, and B. Kibler, “Impact of fourth-order dispersion in the spectra of polarization-modulational instability in highly nonlinear fibers,” Phys. Rev. A 87, 033803 (2013).
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Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).
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S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).
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Phys. Rev. E (19)

B. G. Onana Essama, J. Atangana, F. Biya Motto, B. Mokhtari, N. Cherkaoui Eddeqaqi, and T. C. Kofané, “Rogue wave train generation in a metamaterial induced by cubic-quintic nonlinearities and second-order dispersion,” Phys. Rev. E 90, 032911 (2014).
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D. D. Estelle Temgoua and T. C. Kofané, “Nonparaxial rogue waves in optical Kerr media,” Phys. Rev. E 91, 063201 (2015).
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D. D. Estelle Temgoua and T. C. Kofané, “Influence of optical activity on rogue waves propagating in chiral optical fibers,” Phys. Rev. E 93, 062223 (2016).
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D. D. Estelle Temgoua, T. M. B. Tchoula, and T. C. Kofané, “Combined effects of nonparaxiality, optical activity and walk-off on rogue wave propagation in optical fibers filled with chiral materials,” Phys. Rev. E 97, 042205 (2018).
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A. Kamagate, P. Grelu, P. Tchofo-Dinda, J. M. Soto-Crespo, and N. Akhmediev, “Stationary and pulsating dissipative light bullets from a collective variable approach,” Phys. Rev. E 79, 026609 (2009).
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A. Mohamadou, B. E. Ayissi, and T. C. Kofané, “Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms,” Phys. Rev. E 74, 046604 (2006).
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C. G. L. Tiofack, A. Mohamadou, T. C. Kofané, and A. B. Moubissi, “Generation of pulse trains in nonlinear optical fibers through the generalized complex Ginzburg-Landau equation,” Phys. Rev. E 80, 066604 (2009).
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V. K. Kuetche, S. Youssoufa, and T. C. Kofané, “Ultrashort optical waveguide excitations in uniaxial silica fibers: elastic collision scenarios,” Phys. Rev. E 90, 063203 (2014).
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C. G. L. Tiofack, F. II Ndzana, A. Mohamadou, and T. C. Kofané, “Spatial solitons and stability in the one-dimensional and the two-dimensional generalized nonlinear Schrödinger equation with fourth-order diffraction and parity-time-symmetric potentials,” Phys. Rev. E 97, 032204 (2018).
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E. Wamba, A. Mohamadou, and T. C. Kofané, “Modulational instability of a trapped Bose-Einstein condensate with two- and three-body interactions,” Phys. Rev. E 77, 046216 (2008).
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Z. Yan, Z. Wen, and C. Hang, “Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials,” Phys. Rev. E 92, 022913 (2015).
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A. Mohamadou, E. Wamba, D. Lissouck, and T. C. Kofané, “Dynamics of kink-dark solitons in Bose-Einstein condensates with both two- and three-body interactions,” Phys. Rev. E 85, 046605 (2012).
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M. Djoko, C. B. Tabi, and T. C. Kofané, “Robust propagation of optical vortex beams, necklace-ring solitons, soliton clusters and uniform-ring beams generated in the frame of the higher-order (3+1)-dimensional cubic-quintic-septic complex Ginzburg-Landau equation,” Phys. Scr. 94, 075501 (2019).
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