D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions,” Phys. Rev. E 88, 013207 (2013).

[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, “Rogue waves and their generating mechanisms in different physical contexts,” Phys. Rep. 528, 47–89 (2013).

[CrossRef]

N. Akhmediev, J. M. Dudley, D. R. Solli, and S. K. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15, 060201 (2013).

[CrossRef]

S. L. Xu, N. Z. Petrović, and M. R. Belić, “Vortex solitons in the (2+1)-dimensional nonlinear Schrödinger equation with variable diffraction and nonlinearity coefficients,” Phys. Scr. 87, 045401 (2013).

[CrossRef]

A. Ankiewicz, J. M. Soto-Crespo, M. A. Chowdhury, and N. Akhmediev, “Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift,” J. Opt. Soc. Am. B 30, 87–94 (2013).

[CrossRef]

S. L. Xu, M. R. Belić, and W. P. Zhong, “Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients,” J. Opt. Soc. Am. B 30, 113–122 (2013).

[CrossRef]

W. P. Zhong, M. R. Belić, and T. W. Huang, “Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity,” J. Opt. Soc. Am. B 30, 1276–1283 (2013).

[CrossRef]

W. P. Zhong, M. R. Belić, and T. W. Huang, “Two-dimensional accessible solitons in PT-symmetric potentials,” Nonlinear Dyn. 70, 2027–2034 (2012).

[CrossRef]

Y. J. He and D. Mihalache, “Soliton dynamics induced by periodic spatially inhomogeneous losses in optical media described by the complex Ginzburg-Landau model,” J. Opt. Soc. Am. B 29, 2554–2558 (2012).

[CrossRef]

L. C. Zhao and J. Liu, “Localized nonlinear waves in a two-mode nonlinear fiber,” J. Opt. Soc. Am. B 29, 3119–3127 (2012).

[CrossRef]

C. Q. Dai, Y. Y. Wang, Q. Tian, and J. F. Zhang, “The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation,” Ann. Phys. 327, 512–521 (2012).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

C. Q. Dai, G. Q. Zhou, and J. F. Zhang, “Controllable optical rogue waves in the femtosecond regime,” Phys. Rev. E 85, 016603 (2012).

[CrossRef]

C. Q. Dai, Q. Tian, and S. Q. Zhu, “Controllable behaviours of rogue wave triplets in the nonautonomous nonlinear and dispersive system,” J. Phys. B 45, 085401 (2012).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits,” Phys. Rev. E 85, 066601 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

C. Q. Dai, Y. Y. Wang, and J. F. Zhang, “Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrödinger equation,” Opt. Lett. 35, 1437–1439 (2010).

[CrossRef]

C. Q. Dai, S. Q. Zhu, L. L. Wang, and J. F. Zhang, “Exact spatial similaritons for the generalized (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients,” Europhys. Lett. 92, 24005 (2010).

[CrossRef]

Z. Y. Yang, L. C. Zhao, T. Zhang, Y. H. Li, and R. H. Yue, “Snakelike nonautonomous solitons in a graded-index grating waveguid,” Phys. Rev. A 81, 043826 (2010).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Extreme waves that appear from nowhere: on the nature of rogue waves,” Phys. Lett. A 373, 2137–2145 (2009).

[CrossRef]

A. Alexandrescu, G. D. Montesinos, and V. M. Pérez-García, “Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation,” Phys. Rev. E 75, 046609 (2007).

[CrossRef]

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450, 1054–1057 (2007).

[CrossRef]

U. Bortolozzo, A. Montina, F. T. Arecchi, J. P. Huignard, and S. Residori, “Spatiotemporal pulses in a liquid crystal optical oscillator,” Phys. Rev. Lett. 99, 023901 (2007).

[CrossRef]

M. Centurion, M. A. Porter, P. G. Kevrekidis, and D. Psaltis, “Nonlinearity management in optics: experiment, theory, and simulation,” Phys. Rev. Lett. 97, 033903 (2006).

[CrossRef]

R. Y. Hao, L. Li, Z. H. Li, and G. S. Zhou, “Exact multisoliton solutions of the higher-order nonlinear Schrödinger equation with variable coefficients,” Phys. Rev. E 70, 066603 (2004).

[CrossRef]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

[CrossRef]

K. B. Dysthe and K. Trulsen, “Note on breather type solutions of the NLS as models for freak-waves,” Phys. Scr. T82, 48–52 (1999).

[CrossRef]

H. A. Haus and W. S. Wong, “Solitons in optical communications,” Rev. Mod. Phys. 68, 423–444 (1996).

[CrossRef]

E. A. Kuznetsov, “Solitons in a parametrically unstable plasma,” Dokl. Akad. Nauk SSSR 236, 575–577 (1977).

A. Ankiewicz, J. M. Soto-Crespo, M. A. Chowdhury, and N. Akhmediev, “Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift,” J. Opt. Soc. Am. B 30, 87–94 (2013).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions,” Phys. Rev. E 88, 013207 (2013).

[CrossRef]

N. Akhmediev, J. M. Dudley, D. R. Solli, and S. K. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15, 060201 (2013).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits,” Phys. Rev. E 85, 066601 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Extreme waves that appear from nowhere: on the nature of rogue waves,” Phys. Lett. A 373, 2137–2145 (2009).

[CrossRef]

A. Alexandrescu, G. D. Montesinos, and V. M. Pérez-García, “Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation,” Phys. Rev. E 75, 046609 (2007).

[CrossRef]

A. Ankiewicz, J. M. Soto-Crespo, M. A. Chowdhury, and N. Akhmediev, “Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift,” J. Opt. Soc. Am. B 30, 87–94 (2013).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions,” Phys. Rev. E 88, 013207 (2013).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits,” Phys. Rev. E 85, 066601 (2012).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Extreme waves that appear from nowhere: on the nature of rogue waves,” Phys. Lett. A 373, 2137–2145 (2009).

[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, “Rogue waves and their generating mechanisms in different physical contexts,” Phys. Rep. 528, 47–89 (2013).

[CrossRef]

U. Bortolozzo, A. Montina, F. T. Arecchi, J. P. Huignard, and S. Residori, “Spatiotemporal pulses in a liquid crystal optical oscillator,” Phys. Rev. Lett. 99, 023901 (2007).

[CrossRef]

S. L. Xu, N. Z. Petrović, and M. R. Belić, “Vortex solitons in the (2+1)-dimensional nonlinear Schrödinger equation with variable diffraction and nonlinearity coefficients,” Phys. Scr. 87, 045401 (2013).

[CrossRef]

S. L. Xu, M. R. Belić, and W. P. Zhong, “Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients,” J. Opt. Soc. Am. B 30, 113–122 (2013).

[CrossRef]

W. P. Zhong, M. R. Belić, and T. W. Huang, “Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity,” J. Opt. Soc. Am. B 30, 1276–1283 (2013).

[CrossRef]

W. P. Zhong, M. R. Belić, and T. W. Huang, “Two-dimensional accessible solitons in PT-symmetric potentials,” Nonlinear Dyn. 70, 2027–2034 (2012).

[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, “Rogue waves and their generating mechanisms in different physical contexts,” Phys. Rep. 528, 47–89 (2013).

[CrossRef]

U. Bortolozzo, A. Montina, F. T. Arecchi, J. P. Huignard, and S. Residori, “Spatiotemporal pulses in a liquid crystal optical oscillator,” Phys. Rev. Lett. 99, 023901 (2007).

[CrossRef]

M. Centurion, M. A. Porter, P. G. Kevrekidis, and D. Psaltis, “Nonlinearity management in optics: experiment, theory, and simulation,” Phys. Rev. Lett. 97, 033903 (2006).

[CrossRef]

C. Q. Dai, G. Q. Zhou, and J. F. Zhang, “Controllable optical rogue waves in the femtosecond regime,” Phys. Rev. E 85, 016603 (2012).

[CrossRef]

C. Q. Dai, Q. Tian, and S. Q. Zhu, “Controllable behaviours of rogue wave triplets in the nonautonomous nonlinear and dispersive system,” J. Phys. B 45, 085401 (2012).

[CrossRef]

C. Q. Dai, Y. Y. Wang, Q. Tian, and J. F. Zhang, “The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation,” Ann. Phys. 327, 512–521 (2012).

[CrossRef]

C. Q. Dai, S. Q. Zhu, L. L. Wang, and J. F. Zhang, “Exact spatial similaritons for the generalized (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients,” Europhys. Lett. 92, 24005 (2010).

[CrossRef]

C. Q. Dai, Y. Y. Wang, and J. F. Zhang, “Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrödinger equation,” Opt. Lett. 35, 1437–1439 (2010).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

N. Akhmediev, J. M. Dudley, D. R. Solli, and S. K. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15, 060201 (2013).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

J. M. Dudley, G. Genty, and B. J. Eggleton, “Harnessing and control of optical rogue waves in supercontinuum generation,” Opt. Express 16, 3644–3651 (2008).

[CrossRef]

K. B. Dysthe and K. Trulsen, “Note on breather type solutions of the NLS as models for freak-waves,” Phys. Scr. T82, 48–52 (1999).

[CrossRef]

J. M. Dudley, G. Genty, and B. J. Eggleton, “Harnessing and control of optical rogue waves in supercontinuum generation,” Opt. Express 16, 3644–3651 (2008).

[CrossRef]

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, “Long periodic superstructure Bragg gratings in optical fibres,” Electron. Lett. 30, 1620–1622 (1994).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

J. M. Dudley, G. Genty, and B. J. Eggleton, “Harnessing and control of optical rogue waves in supercontinuum generation,” Opt. Express 16, 3644–3651 (2008).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

R. Y. Hao, L. Li, Z. H. Li, and G. S. Zhou, “Exact multisoliton solutions of the higher-order nonlinear Schrödinger equation with variable coefficients,” Phys. Rev. E 70, 066603 (2004).

[CrossRef]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

[CrossRef]

H. A. Haus and W. S. Wong, “Solitons in optical communications,” Rev. Mod. Phys. 68, 423–444 (1996).

[CrossRef]

W. P. Zhong, M. R. Belić, and T. W. Huang, “Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity,” J. Opt. Soc. Am. B 30, 1276–1283 (2013).

[CrossRef]

W. P. Zhong, M. R. Belić, and T. W. Huang, “Two-dimensional accessible solitons in PT-symmetric potentials,” Nonlinear Dyn. 70, 2027–2034 (2012).

[CrossRef]

U. Bortolozzo, A. Montina, F. T. Arecchi, J. P. Huignard, and S. Residori, “Spatiotemporal pulses in a liquid crystal optical oscillator,” Phys. Rev. Lett. 99, 023901 (2007).

[CrossRef]

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450, 1054–1057 (2007).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions,” Phys. Rev. E 88, 013207 (2013).

[CrossRef]

D. J. Kedziora, A. Ankiewicz, and N. Akhmediev, “Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits,” Phys. Rev. E 85, 066601 (2012).

[CrossRef]

M. Centurion, M. A. Porter, P. G. Kevrekidis, and D. Psaltis, “Nonlinearity management in optics: experiment, theory, and simulation,” Phys. Rev. Lett. 97, 033903 (2006).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450, 1054–1057 (2007).

[CrossRef]

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, “Long periodic superstructure Bragg gratings in optical fibres,” Electron. Lett. 30, 1620–1622 (1994).

[CrossRef]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

E. A. Kuznetsov, “Solitons in a parametrically unstable plasma,” Dokl. Akad. Nauk SSSR 236, 575–577 (1977).

R. Y. Hao, L. Li, Z. H. Li, and G. S. Zhou, “Exact multisoliton solutions of the higher-order nonlinear Schrödinger equation with variable coefficients,” Phys. Rev. E 70, 066603 (2004).

[CrossRef]

Z. Y. Yang, L. C. Zhao, T. Zhang, Y. H. Li, and R. H. Yue, “Snakelike nonautonomous solitons in a graded-index grating waveguid,” Phys. Rev. A 81, 043826 (2010).

[CrossRef]

R. Y. Hao, L. Li, Z. H. Li, and G. S. Zhou, “Exact multisoliton solutions of the higher-order nonlinear Schrödinger equation with variable coefficients,” Phys. Rev. E 70, 066603 (2004).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

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

B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, and J. Dudley, “Observation of Kuznetsov-Ma soliton dynamics in optical fibre,” Sci. Rep. 2, 463 (2012).

[CrossRef]

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, “The Peregrine soliton in nonlinear fibre optics,” Nat. Phys. 6, 790–795 (2010).

[CrossRef]

A. Alexandrescu, G. D. Montesinos, and V. M. Pérez-García, “Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation,” Phys. Rev. E 75, 046609 (2007).

[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, “Rogue waves and their generating mechanisms in different physical contexts,” Phys. Rep. 528, 47–89 (2013).

[CrossRef]

U. Bortolozzo, A. Montina, F. T. Arecchi, J. P. Huignard, and S. Residori, “Spatiotemporal pulses in a liquid crystal optical oscillator,” Phys. Rev. Lett. 99, 023901 (2007).

[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, “Rogue waves and their generating mechanisms in different physical contexts,” Phys. Rep. 528, 47–89 (2013).

[CrossRef]

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, “Long periodic superstructure Bragg gratings in optical fibres,” Electron. Lett. 30, 1620–1622 (1994).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

[CrossRef]

A. Alexandrescu, G. D. Montesinos, and V. M. Pérez-García, “Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation,” Phys. Rev. E 75, 046609 (2007).

[CrossRef]

S. L. Xu, N. Z. Petrović, and M. R. Belić, “Vortex solitons in the (2+1)-dimensional nonlinear Schrödinger equation with variable diffraction and nonlinearity coefficients,” Phys. Scr. 87, 045401 (2013).

[CrossRef]

B. J. Eggleton, P. A. Krug, L. Poladian, and F. Ouellette, “Long periodic superstructure Bragg gratings in optical fibres,” Electron. Lett. 30, 1620–1622 (1994).

[CrossRef]

M. Centurion, M. A. Porter, P. G. Kevrekidis, and D. Psaltis, “Nonlinearity management in optics: experiment, theory, and simulation,” Phys. Rev. Lett. 97, 033903 (2006).

[CrossRef]

M. Centurion, M. A. Porter, P. G. Kevrekidis, and D. Psaltis, “Nonlinearity management in optics: experiment, theory, and simulation,” Phys. Rev. Lett. 97, 033903 (2006).

[CrossRef]

C. N. Kumar, R. Gupta, A. Goyal, S. Loomba, T. S. Raju, and P. K. Panigrahi, “Controlled giant rogue waves in nonlinear fiber optics,” Phys. Rev. A 86, 025802 (2012).

[CrossRef]

M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, “Rogue waves and their generating mechanisms in different physical contexts,” Phys. Rep. 528, 47–89 (2013).

[CrossRef]

U. Bortolozzo, A. Montina, F. T. Arecchi, J. P. Huignard, and S. Residori, “Spatiotemporal pulses in a liquid crystal optical oscillator,” Phys. Rev. Lett. 99, 023901 (2007).

[CrossRef]

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450, 1054–1057 (2007).

[CrossRef]

N. Akhmediev, J. M. Dudley, D. R. Solli, and S. K. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15, 060201 (2013).

[CrossRef]

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450, 1054–1057 (2007).

[CrossRef]

A. Ankiewicz, J. M. Soto-Crespo, M. A. Chowdhury, and N. Akhmediev, “Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift,” J. Opt. Soc. Am. B 30, 87–94 (2013).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Extreme waves that appear from nowhere: on the nature of rogue waves,” Phys. Lett. A 373, 2137–2145 (2009).

[CrossRef]

C. Sulem and P. Sulem, The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse (Springer-Verlag, 2000).

C. Sulem and P. Sulem, The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse (Springer-Verlag, 2000).

C. Q. Dai, Y. Y. Wang, Q. Tian, and J. F. Zhang, “The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation,” Ann. Phys. 327, 512–521 (2012).

[CrossRef]

C. Q. Dai, Q. Tian, and S. Q. Zhu, “Controllable behaviours of rogue wave triplets in the nonautonomous nonlinear and dispersive system,” J. Phys. B 45, 085401 (2012).

[CrossRef]

K. B. Dysthe and K. Trulsen, “Note on breather type solutions of the NLS as models for freak-waves,” Phys. Scr. T82, 48–52 (1999).

[CrossRef]

N. Akhmediev, J. M. Dudley, D. R. Solli, and S. K. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15, 060201 (2013).

[CrossRef]

C. Q. Dai, S. Q. Zhu, L. L. Wang, and J. F. Zhang, “Exact spatial similaritons for the generalized (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients,” Europhys. Lett. 92, 24005 (2010).

[CrossRef]

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