J. H. Li, K. S. Chiang, B. A. Malomed, and K. W. Chow, “Modulation instabilities in birefringent two-core optical fibres,” J. Phys. B 45, 165404 (2012).

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

[CrossRef]

E. J. R. Kelleher, J. C. Travers, S. V. Popov, and J. R. Taylor, “Role of pump coherence in the evolution of continuous wave supercontinuum generation initiated by modulation instability,” J. Opt. Soc. Am. B 29, 502–512 (2012).

[CrossRef]

D. Castelló-Lurbe, E. Silvestre, P. Andrés, and V. Torres-Company, “Spectral broadening enhancement in silicon waveguides through pulse shaping,” Opt. Lett. 37, 2757–2759 (2012).

[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]

J. H. Li, K. S. Chiang, and K. W. Chow, “Modulation instabilities in two-core optical fibers,” J. Opt. Soc. Am. B 28, 1693–1701 (2011).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

J. C. Travers, “Blue extension of optical fibre supercontinuum generation,” J. Opt. 12, 113001 (2010).

[CrossRef]

P. T. Dinda and K. Porsezian, “Impact of fourth-order dispersion in the modulational instability spectra of wave propagation in glass fibers with saturable nonlinearity,” J. Opt. Soc. Am. B 27, 1143–1152 (2010).

[CrossRef]

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

[CrossRef]

A. M. Kamchatnov and M. Salerno, “Dark soliton oscillations in Bose–Einstein condensates with multi-body interactions,” J. Phys. B 42, 185303 (2009).

P. Das, M. Vyas, and P. K. Panigrahi, “Loss of superfluidity in the Bose–Einstein condensate in an optical lattice with cubic and quintic nonlinearity,” J. Phys. B. 42, 245304 (2009).

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238, 540–548 (2009).

[CrossRef]

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]

X. Liu, J. W. Haus, and S. M. Shahriar, “Modulation instability for a relaxational Kerr medium,” Opt. Commun. 281, 2907–2912 (2008).

[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Femtosecond pulse propagation in silicon waveguides: variational approach and its advantages,” Opt. Commun. 281, 5889–5893 (2008).

[CrossRef]

A. Demircan and U. Bandelow, “Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation,” Appl. Phys. B 86, 31–39 (2007).

[CrossRef]

L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32, 2031–2033 (2007).

[CrossRef]

L. Yin, Q. Lin, and G. P. Agrawal, “Soliton fission and supercontinuum generation in silicon waveguides,” Opt. Lett. 32, 391–393 (2007).

[CrossRef]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421–428 (2007).

[CrossRef]

R. E. Kennedy, S. V. Popov, and J. R. Taylor, “Ytterbium gain band self-induced modulation instability laser,” Opt. Lett. 31, 167–169 (2006).

[CrossRef]

B. Jalali and S. Fathpour, “Silicon photonics,” IEEE J. Lightwave Technol. 24, 4600–4615 (2006).

[CrossRef]

R. Soref, “The past, present, and future of silicon photonics,” IEEE J. Sel. Top. Quantum Electron. 12, 1678–1687 (2006).

[CrossRef]

M. Lipson, “Guiding, modulating, and emitting light on silicon challenges and opportunities,” J. Lightwave Technol. 23, 4222–4238 (2005).

[CrossRef]

C. M. Ngabireng, P. T. 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]

E. Brainis, D. Amans, and S. Massar, “Scalar and vector modulation instabilities induced by vacuum fluctuations in fibers: numerical study,” Phys. Rev. A 71, 023808 (2005).

[CrossRef]

A. Dermican and U. Bandelow, “Supercontinuum generation by the modulation instability,” Opt. Commun. 244, 181–185 (2005).

[CrossRef]

M. Nurhuda and E. Van Groesen, “Effects of delayed Kerr nonlinearity and ionization on the filamentary ultrashort laser pulses in air,” Phys. Rev. E 71, 066502 (2005).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

H. K. Tsang, C. S. Wong, and T. K. Liang, “Optical dispersion, two-photon absorption, and self-phase modulation in silicon waveguides at 1.5 m wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).

[CrossRef]

R. S. Tasgal and B. A. Malomed, “Modulational instabilities in the dual-core nonlinear optical fiber,” Phys. Scr. 60, 418–422 (1999).

[CrossRef]

S. B. Cavalcanti and M. Lyra, “Modulation instability of ultrashort pulses via a generalized nonlinear Schrödinger equation with deviating argument,” Phys. Lett. A 211, 276–280 (1996).

[CrossRef]

N. D. Dalt, C. D. Angelis, G. F. Nalesso, and M. Santagiustina, “Dynamics of induced modulational instability in waveguides with saturable nonlinearity,” Opt. Commun. 121, 69–72 (1995).

[CrossRef]

Y. Kodama, A. Maruta, and A. Hasegawa, “Long distance communications with solitons,” Quantum Opt. 6, 463–516 (1994).

[CrossRef]

G. P. Agrawal, “Effect of two-photon absorption on the amplification of ultrashort optical pulses,” Phys. Rev. E 48, 2316–2318 (1993).

[CrossRef]

P. Drummond, T. Kennedy, and J. Dudley, “Cross-phase modulation instability in high birefringence fibers,” Opt. Commun. 78, 137–142 (1990).

[CrossRef]

J. E. Rothenberg, “Modulational instability of copropagating frequencies for normal dispersion,” Phys. Rev. Lett. 64, 813 (1990).

[CrossRef]

E. J. Greer, D. M. Patrick, P. G. J. Wigley, and J. R. Taylor, “Generation of 2 THz repetition rate pulse trains through induced modulational instability,” Electron. Lett. 25, 1246–1248 (1989).

[CrossRef]

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

[CrossRef]

S. Trillo, S. Wabnitz, G. I. Stegeman, and E. M. Wright, “Parametric amplification and modulational instabilities in dispersive nonlinear directional couplers with relaxing nonlinearity,” J. Opt. Soc. Am. B 6, 889–900 (1989).

[CrossRef]

G. P. Agrawal, “Modulation instability induced by cross-phase modulation,” Phys. Rev. Lett. 59, 880–883 (1987).

[CrossRef]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

A. Hasegawa, “Observation of self-trapping instability of a plasma cyclotron wave in a computer experiment,” Phys. Rev. Lett. 24, 1165–1168 (1970).

[CrossRef]

V. I. Karpman and E. M. Krushkal, “Modulated waves in nonlinear dispersive media,” Sov. Phys. JETP 28, 277–281 (1969).

W. J. Cody, “Rational Chebyshev approximations for the error function,”Math. Comput. 23, 631–637 (1969).

[CrossRef]

T. Taniuti and H. Washimi, “Self-trapping and instability of hydromagnetic waves along the magnetic field in a cold plasma,” Phys. Rev. Lett. 21, 209–212 (1968).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wave trains on deep water. Part 1. Theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

V. I. Talanov, “Self-focusing of wave beams,” JETP Lett. 2, 138–141 (1965).

L. A. Ostrovsky, “Electromagnetic waves in nonlinear media with dispersion,” Sov. Phys. Tech. Phys. 8, 679–683 (1964).

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Femtosecond pulse propagation in silicon waveguides: variational approach and its advantages,” Opt. Commun. 281, 5889–5893 (2008).

[CrossRef]

L. Yin, Q. Lin, and G. P. Agrawal, “Soliton fission and supercontinuum generation in silicon waveguides,” Opt. Lett. 32, 391–393 (2007).

[CrossRef]

L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32, 2031–2033 (2007).

[CrossRef]

G. P. Agrawal, “Effect of two-photon absorption on the amplification of ultrashort optical pulses,” Phys. Rev. E 48, 2316–2318 (1993).

[CrossRef]

G. P. Agrawal, “Modulation instability induced by cross-phase modulation,” Phys. Rev. Lett. 59, 880–883 (1987).

[CrossRef]

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

G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2008).

G. P. Agrawal, Applications of Nonlinear Fiber Optics(Academic, 2008).

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

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

E. Brainis, D. Amans, and S. Massar, “Scalar and vector modulation instabilities induced by vacuum fluctuations in fibers: numerical study,” Phys. Rev. A 71, 023808 (2005).

[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]

N. D. Dalt, C. D. Angelis, G. F. Nalesso, and M. Santagiustina, “Dynamics of induced modulational instability in waveguides with saturable nonlinearity,” Opt. Commun. 121, 69–72 (1995).

[CrossRef]

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

A. Demircan and U. Bandelow, “Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation,” Appl. Phys. B 86, 31–39 (2007).

[CrossRef]

A. Dermican and U. Bandelow, “Supercontinuum generation by the modulation instability,” Opt. Commun. 244, 181–185 (2005).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wave trains on deep water. Part 1. Theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Femtosecond pulse propagation in silicon waveguides: variational approach and its advantages,” Opt. Commun. 281, 5889–5893 (2008).

[CrossRef]

E. Brainis, D. Amans, and S. Massar, “Scalar and vector modulation instabilities induced by vacuum fluctuations in fibers: numerical study,” Phys. Rev. A 71, 023808 (2005).

[CrossRef]

S. B. Cavalcanti and M. Lyra, “Modulation instability of ultrashort pulses via a generalized nonlinear Schrödinger equation with deviating argument,” Phys. Lett. A 211, 276–280 (1996).

[CrossRef]

J. H. Li, K. S. Chiang, B. A. Malomed, and K. W. Chow, “Modulation instabilities in birefringent two-core optical fibres,” J. Phys. B 45, 165404 (2012).

J. H. Li, K. S. Chiang, and K. W. Chow, “Modulation instabilities in two-core optical fibers,” J. Opt. Soc. Am. B 28, 1693–1701 (2011).

[CrossRef]

J. H. Li, K. S. Chiang, B. A. Malomed, and K. W. Chow, “Modulation instabilities in birefringent two-core optical fibres,” J. Phys. B 45, 165404 (2012).

J. H. Li, K. S. Chiang, and K. W. Chow, “Modulation instabilities in two-core optical fibers,” J. Opt. Soc. Am. B 28, 1693–1701 (2011).

[CrossRef]

W. J. Cody, “Rational Chebyshev approximations for the error function,”Math. Comput. 23, 631–637 (1969).

[CrossRef]

N. D. Dalt, C. D. Angelis, G. F. Nalesso, and M. Santagiustina, “Dynamics of induced modulational instability in waveguides with saturable nonlinearity,” Opt. Commun. 121, 69–72 (1995).

[CrossRef]

P. Das, M. Vyas, and P. K. Panigrahi, “Loss of superfluidity in the Bose–Einstein condensate in an optical lattice with cubic and quintic nonlinearity,” J. Phys. B. 42, 245304 (2009).

A. Demircan and U. Bandelow, “Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation,” Appl. Phys. B 86, 31–39 (2007).

[CrossRef]

A. Dermican and U. Bandelow, “Supercontinuum generation by the modulation instability,” Opt. Commun. 244, 181–185 (2005).

[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]

P. T. Dinda and K. Porsezian, “Impact of fourth-order dispersion in the modulational instability spectra of wave propagation in glass fibers with saturable nonlinearity,” J. Opt. Soc. Am. B 27, 1143–1152 (2010).

[CrossRef]

C. M. Ngabireng, P. T. 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]

K. Nakkeeran, Y. H. C. Kwan, P. K. A. Wai, A. Labruyere, P. T. Dinda, and A. B. Moubissi, “Analytical design of densely dispersion-managed optical fiber transmission systems with Gaussian and raised cosine return-to-zero Ansätze,” J. Opt. Soc. Am. B 21, 1901–1907 (2004).

[CrossRef]

P. Drummond, T. Kennedy, and J. Dudley, “Cross-phase modulation instability in high birefringence fibers,” Opt. Commun. 78, 137–142 (1990).

[CrossRef]

P. Drummond, T. Kennedy, and J. Dudley, “Cross-phase modulation instability in high birefringence fibers,” Opt. Commun. 78, 137–142 (1990).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

B. Jalali and S. Fathpour, “Silicon photonics,” IEEE J. Lightwave Technol. 24, 4600–4615 (2006).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wave trains on deep water. Part 1. Theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

E. J. Greer, D. M. Patrick, P. G. J. Wigley, and J. R. Taylor, “Generation of 2 THz repetition rate pulse trains through induced modulational instability,” Electron. Lett. 25, 1246–1248 (1989).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

Y. Kodama, A. Maruta, and A. Hasegawa, “Long distance communications with solitons,” Quantum Opt. 6, 463–516 (1994).

[CrossRef]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

A. Hasegawa, “Generation of a train of soliton pulses by induced modulational instability in optical fibers,” Opt. Lett. 9, 288–290 (1984).

[CrossRef]

A. Hasegawa, “Observation of self-trapping instability of a plasma cyclotron wave in a computer experiment,” Phys. Rev. Lett. 24, 1165–1168 (1970).

[CrossRef]

X. Liu, J. W. Haus, and S. M. Shahriar, “Modulation instability for a relaxational Kerr medium,” Opt. Commun. 281, 2907–2912 (2008).

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

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

[CrossRef]

B. Jalali and S. Fathpour, “Silicon photonics,” IEEE J. Lightwave Technol. 24, 4600–4615 (2006).

[CrossRef]

A. M. Kamchatnov and M. Salerno, “Dark soliton oscillations in Bose–Einstein condensates with multi-body interactions,” J. Phys. B 42, 185303 (2009).

V. I. Karpman and E. M. Krushkal, “Modulated waves in nonlinear dispersive media,” Sov. Phys. JETP 28, 277–281 (1969).

P. Drummond, T. Kennedy, and J. Dudley, “Cross-phase modulation instability in high birefringence fibers,” Opt. Commun. 78, 137–142 (1990).

[CrossRef]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

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

Y. Kodama, A. Maruta, and A. Hasegawa, “Long distance communications with solitons,” Quantum Opt. 6, 463–516 (1994).

[CrossRef]

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

[CrossRef]

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]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421–428 (2007).

[CrossRef]

C. M. Ngabireng, P. T. 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]

V. I. Karpman and E. M. Krushkal, “Modulated waves in nonlinear dispersive media,” Sov. Phys. JETP 28, 277–281 (1969).

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

[CrossRef]

J. H. Li, K. S. Chiang, B. A. Malomed, and K. W. Chow, “Modulation instabilities in birefringent two-core optical fibres,” J. Phys. B 45, 165404 (2012).

J. H. Li, K. S. Chiang, and K. W. Chow, “Modulation instabilities in two-core optical fibers,” J. Opt. Soc. Am. B 28, 1693–1701 (2011).

[CrossRef]

H. K. Tsang, C. S. Wong, and T. K. Liang, “Optical dispersion, two-photon absorption, and self-phase modulation in silicon waveguides at 1.5 m wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

X. Liu, J. W. Haus, and S. M. Shahriar, “Modulation instability for a relaxational Kerr medium,” Opt. Commun. 281, 2907–2912 (2008).

[CrossRef]

S. B. Cavalcanti and M. Lyra, “Modulation instability of ultrashort pulses via a generalized nonlinear Schrödinger equation with deviating argument,” Phys. Lett. A 211, 276–280 (1996).

[CrossRef]

J. H. Li, K. S. Chiang, B. A. Malomed, and K. W. Chow, “Modulation instabilities in birefringent two-core optical fibres,” J. Phys. B 45, 165404 (2012).

R. S. Tasgal and B. A. Malomed, “Modulational instabilities in the dual-core nonlinear optical fiber,” Phys. Scr. 60, 418–422 (1999).

[CrossRef]

Y. Kodama, A. Maruta, and A. Hasegawa, “Long distance communications with solitons,” Quantum Opt. 6, 463–516 (1994).

[CrossRef]

E. Brainis, D. Amans, and S. Massar, “Scalar and vector modulation instabilities induced by vacuum fluctuations in fibers: numerical study,” Phys. Rev. A 71, 023808 (2005).

[CrossRef]

V. B. Matveev and M. A. Salle, Darboux Transformations and Solitons, Series in Nonlinear Dynamics (Springer-Verlag, 1991).

C. C. Mei, The Applied Dynamics of Ocean Surface Waves (World Scientific, 1989).

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

[CrossRef]

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]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421–428 (2007).

[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]

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]

K. Nakkeeran, Y. H. C. Kwan, P. K. A. Wai, A. Labruyere, P. T. Dinda, and A. B. Moubissi, “Analytical design of densely dispersion-managed optical fiber transmission systems with Gaussian and raised cosine return-to-zero Ansätze,” J. Opt. Soc. Am. B 21, 1901–1907 (2004).

[CrossRef]

C. M. Ngabireng, P. T. 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]

K. Nakkeeran, Y. H. C. Kwan, P. K. A. Wai, A. Labruyere, P. T. Dinda, and A. B. Moubissi, “Analytical design of densely dispersion-managed optical fiber transmission systems with Gaussian and raised cosine return-to-zero Ansätze,” J. Opt. Soc. Am. B 21, 1901–1907 (2004).

[CrossRef]

N. D. Dalt, C. D. Angelis, G. F. Nalesso, and M. Santagiustina, “Dynamics of induced modulational instability in waveguides with saturable nonlinearity,” Opt. Commun. 121, 69–72 (1995).

[CrossRef]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421–428 (2007).

[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]

C. M. Ngabireng, P. T. 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]

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

[CrossRef]

M. Nurhuda and E. Van Groesen, “Effects of delayed Kerr nonlinearity and ionization on the filamentary ultrashort laser pulses in air,” Phys. Rev. E 71, 066502 (2005).

[CrossRef]

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

[CrossRef]

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238, 540–548 (2009).

[CrossRef]

L. A. Ostrovsky, “Electromagnetic waves in nonlinear media with dispersion,” Sov. Phys. Tech. Phys. 8, 679–683 (1964).

P. Das, M. Vyas, and P. K. Panigrahi, “Loss of superfluidity in the Bose–Einstein condensate in an optical lattice with cubic and quintic nonlinearity,” J. Phys. B. 42, 245304 (2009).

E. J. Greer, D. M. Patrick, P. G. J. Wigley, and J. R. Taylor, “Generation of 2 THz repetition rate pulse trains through induced modulational instability,” Electron. Lett. 25, 1246–1248 (1989).

[CrossRef]

E. J. R. Kelleher, J. C. Travers, S. V. Popov, and J. R. Taylor, “Role of pump coherence in the evolution of continuous wave supercontinuum generation initiated by modulation instability,” J. Opt. Soc. Am. B 29, 502–512 (2012).

[CrossRef]

R. E. Kennedy, S. V. Popov, and J. R. Taylor, “Ytterbium gain band self-induced modulation instability laser,” Opt. Lett. 31, 167–169 (2006).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

J. E. Rothenberg, “Modulational instability of copropagating frequencies for normal dispersion,” Phys. Rev. Lett. 64, 813 (1990).

[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Femtosecond pulse propagation in silicon waveguides: variational approach and its advantages,” Opt. Commun. 281, 5889–5893 (2008).

[CrossRef]

A. M. Kamchatnov and M. Salerno, “Dark soliton oscillations in Bose–Einstein condensates with multi-body interactions,” J. Phys. B 42, 185303 (2009).

V. B. Matveev and M. A. Salle, Darboux Transformations and Solitons, Series in Nonlinear Dynamics (Springer-Verlag, 1991).

N. D. Dalt, C. D. Angelis, G. F. Nalesso, and M. Santagiustina, “Dynamics of induced modulational instability in waveguides with saturable nonlinearity,” Opt. Commun. 121, 69–72 (1995).

[CrossRef]

X. Liu, J. W. Haus, and S. M. Shahriar, “Modulation instability for a relaxational Kerr medium,” Opt. Commun. 281, 2907–2912 (2008).

[CrossRef]

R. Soref, “The past, present, and future of silicon photonics,” IEEE J. Sel. Top. Quantum Electron. 12, 1678–1687 (2006).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

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

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

V. I. Talanov, “Self-focusing of wave beams,” JETP Lett. 2, 138–141 (1965).

T. Taniuti and H. Washimi, “Self-trapping and instability of hydromagnetic waves along the magnetic field in a cold plasma,” Phys. Rev. Lett. 21, 209–212 (1968).

[CrossRef]

R. S. Tasgal and B. A. Malomed, “Modulational instabilities in the dual-core nonlinear optical fiber,” Phys. Scr. 60, 418–422 (1999).

[CrossRef]

E. J. R. Kelleher, J. C. Travers, S. V. Popov, and J. R. Taylor, “Role of pump coherence in the evolution of continuous wave supercontinuum generation initiated by modulation instability,” J. Opt. Soc. Am. B 29, 502–512 (2012).

[CrossRef]

R. E. Kennedy, S. V. Popov, and J. R. Taylor, “Ytterbium gain band self-induced modulation instability laser,” Opt. Lett. 31, 167–169 (2006).

[CrossRef]

E. J. Greer, D. M. Patrick, P. G. J. Wigley, and J. R. Taylor, “Generation of 2 THz repetition rate pulse trains through induced modulational instability,” Electron. Lett. 25, 1246–1248 (1989).

[CrossRef]

J. R. Taylor, Optical Solitons: Theory and Experiments(Cambridge University, 1992).

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

[CrossRef]

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]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

C. M. Ngabireng, P. T. 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]

H. K. Tsang, C. S. Wong, and T. K. Liang, “Optical dispersion, two-photon absorption, and self-phase modulation in silicon waveguides at 1.5 m wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).

[CrossRef]

M. Nurhuda and E. Van Groesen, “Effects of delayed Kerr nonlinearity and ionization on the filamentary ultrashort laser pulses in air,” Phys. Rev. E 71, 066502 (2005).

[CrossRef]

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

[CrossRef]

P. Das, M. Vyas, and P. K. Panigrahi, “Loss of superfluidity in the Bose–Einstein condensate in an optical lattice with cubic and quintic nonlinearity,” J. Phys. B. 42, 245304 (2009).

C. M. Ngabireng, P. T. 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]

K. Nakkeeran, Y. H. C. Kwan, P. K. A. Wai, A. Labruyere, P. T. Dinda, and A. B. Moubissi, “Analytical design of densely dispersion-managed optical fiber transmission systems with Gaussian and raised cosine return-to-zero Ansätze,” J. Opt. Soc. Am. B 21, 1901–1907 (2004).

[CrossRef]

T. Taniuti and H. Washimi, “Self-trapping and instability of hydromagnetic waves along the magnetic field in a cold plasma,” Phys. Rev. Lett. 21, 209–212 (1968).

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

E. J. Greer, D. M. Patrick, P. G. J. Wigley, and J. R. Taylor, “Generation of 2 THz repetition rate pulse trains through induced modulational instability,” Electron. Lett. 25, 1246–1248 (1989).

[CrossRef]

H. K. Tsang, C. S. Wong, and T. K. Liang, “Optical dispersion, two-photon absorption, and self-phase modulation in silicon waveguides at 1.5 m wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).

[CrossRef]

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238, 540–548 (2009).

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

A. Demircan and U. Bandelow, “Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation,” Appl. Phys. B 86, 31–39 (2007).

[CrossRef]

J. Wen, H. Liu, N. Huang, Q. Sun, and W. Zhao, “Influence of the initial chirp on the supercontinuum generation in silicon-on-insulator waveguide,” Appl. Phys. B 104, 867–871 (2011).

[CrossRef]

H. K. Tsang, C. S. Wong, and T. K. Liang, “Optical dispersion, two-photon absorption, and self-phase modulation in silicon waveguides at 1.5 m wavelength,” Appl. Phys. Lett. 80, 416–418 (2002).

[CrossRef]

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

[CrossRef]

S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, “Influence of higher-order dispersions and raman delayed response on modulation instability in microstructured fibres,” Chin. Phys. Lett. 20, 852–854 (2003).

[CrossRef]

E. J. Greer, D. M. Patrick, P. G. J. Wigley, and J. R. Taylor, “Generation of 2 THz repetition rate pulse trains through induced modulational instability,” Electron. Lett. 25, 1246–1248 (1989).

[CrossRef]

B. Jalali and S. Fathpour, “Silicon photonics,” IEEE J. Lightwave Technol. 24, 4600–4615 (2006).

[CrossRef]

R. Soref, “The past, present, and future of silicon photonics,” IEEE J. Sel. Top. Quantum Electron. 12, 1678–1687 (2006).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wave trains on deep water. Part 1. Theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

J. C. Travers, “Blue extension of optical fibre supercontinuum generation,” J. Opt. 12, 113001 (2010).

[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]

J. H. Li, K. S. Chiang, and K. W. Chow, “Modulation instabilities in two-core optical fibers,” J. Opt. Soc. Am. B 28, 1693–1701 (2011).

[CrossRef]

E. J. R. Kelleher, J. C. Travers, S. V. Popov, and J. R. Taylor, “Role of pump coherence in the evolution of continuous wave supercontinuum generation initiated by modulation instability,” J. Opt. Soc. Am. B 29, 502–512 (2012).

[CrossRef]

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

[CrossRef]

K. Nakkeeran, Y. H. C. Kwan, P. K. A. Wai, A. Labruyere, P. T. Dinda, and A. B. Moubissi, “Analytical design of densely dispersion-managed optical fiber transmission systems with Gaussian and raised cosine return-to-zero Ansätze,” J. Opt. Soc. Am. B 21, 1901–1907 (2004).

[CrossRef]

S. Trillo, S. Wabnitz, G. I. Stegeman, and E. M. Wright, “Parametric amplification and modulational instabilities in dispersive nonlinear directional couplers with relaxing nonlinearity,” J. Opt. Soc. Am. B 6, 889–900 (1989).

[CrossRef]

F. Kh. Abdullaev, S. A. Darmanyan, S. Bischoff, and M. P. Sorensen, “Modulational instability of electromagnetic waves in media with varying nonlinearity,” J. Opt. Soc. Am. B 14, 27–33 (1997).

[CrossRef]

M. Karlsson, “Four-wave mixing in fibers with randomly varying zero-dispersion wavelength,” J. Opt. Soc. Am. B 15, 2269 (1998).

[CrossRef]

P. T. Dinda and K. Porsezian, “Impact of fourth-order dispersion in the modulational instability spectra of wave propagation in glass fibers with saturable nonlinearity,” J. Opt. Soc. Am. B 27, 1143–1152 (2010).

[CrossRef]

A. M. Kamchatnov and M. Salerno, “Dark soliton oscillations in Bose–Einstein condensates with multi-body interactions,” J. Phys. B 42, 185303 (2009).

J. H. Li, K. S. Chiang, B. A. Malomed, and K. W. Chow, “Modulation instabilities in birefringent two-core optical fibres,” J. Phys. B 45, 165404 (2012).

P. Das, M. Vyas, and P. K. Panigrahi, “Loss of superfluidity in the Bose–Einstein condensate in an optical lattice with cubic and quintic nonlinearity,” J. Phys. B. 42, 245304 (2009).

V. I. Talanov, “Self-focusing of wave beams,” JETP Lett. 2, 138–141 (1965).

W. J. Cody, “Rational Chebyshev approximations for the error function,”Math. Comput. 23, 631–637 (1969).

[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Femtosecond pulse propagation in silicon waveguides: variational approach and its advantages,” Opt. Commun. 281, 5889–5893 (2008).

[CrossRef]

P. Drummond, T. Kennedy, and J. Dudley, “Cross-phase modulation instability in high birefringence fibers,” Opt. Commun. 78, 137–142 (1990).

[CrossRef]

N. D. Dalt, C. D. Angelis, G. F. Nalesso, and M. Santagiustina, “Dynamics of induced modulational instability in waveguides with saturable nonlinearity,” Opt. Commun. 121, 69–72 (1995).

[CrossRef]

F. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic quintic nonlinear Schrödinger equation through the variational approach,” Opt. Commun. 275, 421–428 (2007).

[CrossRef]

X. Liu, J. W. Haus, and S. M. Shahriar, “Modulation instability for a relaxational Kerr medium,” Opt. Commun. 281, 2907–2912 (2008).

[CrossRef]

A. Dermican and U. Bandelow, “Supercontinuum generation by the modulation instability,” Opt. Commun. 244, 181–185 (2005).

[CrossRef]

R. E. Kennedy, S. V. Popov, and J. R. Taylor, “Ytterbium gain band self-induced modulation instability laser,” Opt. Lett. 31, 167–169 (2006).

[CrossRef]

A. Hasegawa, “Generation of a train of soliton pulses by induced modulational instability in optical fibers,” Opt. Lett. 9, 288–290 (1984).

[CrossRef]

L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32, 2031–2033 (2007).

[CrossRef]

D. Castelló-Lurbe, E. Silvestre, P. Andrés, and V. Torres-Company, “Spectral broadening enhancement in silicon waveguides through pulse shaping,” Opt. Lett. 37, 2757–2759 (2012).

[CrossRef]

L. Yin, Q. Lin, and G. P. Agrawal, “Soliton fission and supercontinuum generation in silicon waveguides,” Opt. Lett. 32, 391–393 (2007).

[CrossRef]

S. B. Cavalcanti and M. Lyra, “Modulation instability of ultrashort pulses via a generalized nonlinear Schrödinger equation with deviating argument,” Phys. Lett. A 211, 276–280 (1996).

[CrossRef]

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

[CrossRef]

E. Brainis, D. Amans, and S. Massar, “Scalar and vector modulation instabilities induced by vacuum fluctuations in fibers: numerical study,” Phys. Rev. A 71, 023808 (2005).

[CrossRef]

M. Nurhuda and E. Van Groesen, “Effects of delayed Kerr nonlinearity and ionization on the filamentary ultrashort laser pulses in air,” Phys. Rev. E 71, 066502 (2005).

[CrossRef]

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]

G. P. Agrawal, “Effect of two-photon absorption on the amplification of ultrashort optical pulses,” Phys. Rev. E 48, 2316–2318 (1993).

[CrossRef]

C. M. Ngabireng, P. T. 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]

M. Erkintalo, K. Hammami, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901 (2011).

[CrossRef]

A. Hasegawa, “Observation of self-trapping instability of a plasma cyclotron wave in a computer experiment,” Phys. Rev. Lett. 24, 1165–1168 (1970).

[CrossRef]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

G. P. Agrawal, “Modulation instability induced by cross-phase modulation,” Phys. Rev. Lett. 59, 880–883 (1987).

[CrossRef]

J. E. Rothenberg, “Modulational instability of copropagating frequencies for normal dispersion,” Phys. Rev. Lett. 64, 813 (1990).

[CrossRef]

T. Taniuti and H. Washimi, “Self-trapping and instability of hydromagnetic waves along the magnetic field in a cold plasma,” Phys. Rev. Lett. 21, 209–212 (1968).

[CrossRef]

R. S. Tasgal and B. A. Malomed, “Modulational instabilities in the dual-core nonlinear optical fiber,” Phys. Scr. 60, 418–422 (1999).

[CrossRef]

V. E. Zakharov and L. A. Ostrovsky, “Modulation instability: the beginning,” Physica D 238, 540–548 (2009).

[CrossRef]

Y. Kodama, A. Maruta, and A. Hasegawa, “Long distance communications with solitons,” Quantum Opt. 6, 463–516 (1994).

[CrossRef]

V. I. Karpman and E. M. Krushkal, “Modulated waves in nonlinear dispersive media,” Sov. Phys. JETP 28, 277–281 (1969).

L. A. Ostrovsky, “Electromagnetic waves in nonlinear media with dispersion,” Sov. Phys. Tech. Phys. 8, 679–683 (1964).

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

C. C. Mei, The Applied Dynamics of Ocean Surface Waves (World Scientific, 1989).

V. B. Matveev and M. A. Salle, Darboux Transformations and Solitons, Series in Nonlinear Dynamics (Springer-Verlag, 1991).

J. R. Taylor, Optical Solitons: Theory and Experiments(Cambridge University, 1992).

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

G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2008).

G. P. Agrawal, Applications of Nonlinear Fiber Optics(Academic, 2008).