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[CrossRef]

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[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. 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]

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]

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]

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[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]

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).

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[CrossRef]

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[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]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[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]

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[CrossRef]

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[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]

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[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]

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[CrossRef]

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