Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms

[1]  Zhenya Yan Two-dimensional vector rogue wave excitations and controlling parameters in the two-component Gross–Pitaevskii equations with varying potentials , 2014, Nonlinear Dynamics.

[2]  H. Hennig Taming Nonlinear Freak Waves , 2014 .

[3]  Xue-ping Cheng,et al.  Controllable rogue waves in coupled nonlinear Schrödinger equations with varying potentials and nonlinearities , 2014 .

[4]  Kwok Wing Chow,et al.  Rogue wave modes for a derivative nonlinear Schrödinger model. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Yan Wang,et al.  Extended nonlinear Schrödinger equation with higher-order odd and even terms and its rogue wave solutions. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Shally Loomba,et al.  Optical rogue waves for the inhomogeneous generalized nonlinear Schrödinger equation. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Liming Ling,et al.  Simple determinant representation for rogue waves of the nonlinear Schrödinger equation. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Shihua Chen Twisted rogue-wave pairs in the Sasa-Satsuma equation. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  D. Solli,et al.  Recent progress in investigating optical rogue waves , 2013 .

[10]  Zhenya Yan,et al.  Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrödinger equation with modulating coefficients , 2013, 1310.3544.

[11]  M. Belić,et al.  Rogue wave solutions to the generalized nonlinear Schrödinger equation with variable coefficients. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Lihong Wang,et al.  Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Li-Chen Zhao,et al.  Dynamics of nonautonomous rogue waves in Bose-Einstein condensate , 2013 .

[14]  M. Gorodetsky,et al.  Temporal solitons in optical microresonators , 2012, Nature Photonics.

[15]  Adrian Ankiewicz,et al.  Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift , 2013 .

[16]  Zhenya Yan Rogue waves in nonlinear science , 2012 .

[17]  Fabio Baronio,et al.  Solutions of the vector nonlinear Schrödinger equations: evidence for deterministic rogue waves. , 2012, Physical review letters.

[18]  Mordechai Segev,et al.  Optical spatial solitons: historical overview and recent advances , 2012, Reports on progress in physics. Physical Society.

[19]  Yasuhiro Ohta,et al.  Rogue waves in the Davey-Stewartson I equation. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Uwe Bandelow,et al.  Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case , 2012 .

[21]  Jingsong He,et al.  The rogue wave and breather solution of the Gerdjikov-Ivanov equation , 2011, 1109.3283.

[22]  C. Garrett Rogue waves , 2012 .

[23]  Chao-Qing Dai,et al.  Controllable optical rogue waves in the femtosecond regime. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Y. Nakamura,et al.  Observation of Peregrine solitons in a multicomponent plasma with negative ions. , 2011, Physical review letters.

[25]  Zhenya Yan,et al.  Vector financial rogue waves , 2011 .

[26]  B. Guo,et al.  Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger Equations , 2011 .

[27]  Adrian Ankiewicz,et al.  Rogue waves and rational solutions of the Hirota equation. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Zhenya Yan,et al.  Nonautonomous "rogons" in the inhomogeneous nonlinear Schrödinger equation with variable coefficients , 2010, 1009.3731.

[29]  Zhenya Yan Financial Rogue Waves , 2009, 0911.4259.

[30]  N. Akhmediev,et al.  Are rogue waves robust against perturbations , 2009 .

[31]  V. Konotop,et al.  Matter rogue waves , 2009 .

[32]  Juan Belmonte-Beitia,et al.  Localized nonlinear waves in systems with time- and space-modulated nonlinearities. , 2008, Physical review letters.

[33]  B. Jalali,et al.  Optical rogue waves , 2007, Nature.

[34]  K. Porsezian,et al.  Dispersion and Nonlinear Management for Femtosecond Optical Solitons , 2006, 2006 International Workshop on Laser and Fiber-Optical Networks Modeling.

[35]  B. Malomed,et al.  Spatiotemporal optical solitons , 2005 .

[36]  Zhenya Yan,et al.  Nonclassical potential solutions of partial differential equations , 2005, European Journal of Applied Mathematics.

[37]  Guosheng Zhou,et al.  Dark soliton solution for higher-order nonlinear Schrödinger equation with variable coefficients , 2004 .

[38]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[39]  Sasanka Ghosh,et al.  Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation , 1999, solv-int/9904018.

[40]  Karsten Trulsen,et al.  NOTE ON BREATHER TYPE SOLUTIONS OF THE NLS AS MODELS FOR FREAK-WAVES , 1999 .

[41]  Hermann A. Haus,et al.  Solitons in optical communications , 1996 .

[42]  D. Mihalache,et al.  The Riemann problem method for solving a perturbed nonlinear Schrodinger equation describing pulse propagation in optic fibres , 1994 .

[43]  L. Torner,et al.  Inverse-scattering approach to femtosecond solitons in monomode optical fibers. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[44]  L. Torner,et al.  Soliton solutions for a perturbed nonlinear Schrodinger equation , 1993 .

[45]  Junkichi Satsuma,et al.  New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation , 1991 .

[46]  B. Malomed,et al.  Evolution of a damped soliton in a higher-order nonlinear Schrödinger equation , 1991 .

[47]  M. Lakshmanan,et al.  Effect of discreteness on the continuum limit of the Heisenberg spin chain , 1988 .

[48]  F Calogero,et al.  Nonlinear evolution equations, rescalings, model PDES and their integrability: I , 1987 .

[49]  Anjan Kundu,et al.  Landau-Lifshitz and higher-order nonlinear systems gauge generated from nonlinear Schrödinger-type equations , 1984 .

[50]  H. H. Chen,et al.  Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method , 1979 .

[51]  David J. Kaup,et al.  An exact solution for a derivative nonlinear Schrödinger equation , 1978 .

[52]  R. Hirota Exact envelope‐soliton solutions of a nonlinear wave equation , 1973 .