Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
暂无分享,去创建一个
Gui Mu | Zhenyun Qin | Roger Grimshaw | Zhenyun Qin | Gui Mu | R. Grimshaw
[1] V. Zakharov,et al. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media , 1970 .
[2] Q. P. Liu,et al. Nonlinear Schrödinger equation: generalized Darboux transformation and rogue wave solutions. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Rogue waters , 2011, 1107.5818.
[4] D. H. Peregrine,et al. Water waves, nonlinear Schrödinger equations and their solutions , 1983, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.
[5] N. K. Shelkovnikov. Rogue waves in the ocean , 2014 .
[6] Liming Ling,et al. High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations , 2013 .
[7] K. Porsezian,et al. New Types of Rogue Wave in an Erbium-Doped Fibre System , 2012 .
[8] Zhenyun Qin,et al. Two spatial dimensional N-rogue waves and their dynamics in Mel’nikov equation , 2014 .
[9] N. Hoffmann,et al. Rogue wave observation in a water wave tank. , 2011, Physical review letters.
[10] Frédéric Dias,et al. The Peregrine soliton in nonlinear fibre optics , 2010 .
[11] Yasuhiro Ohta,et al. General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[12] B. Guo,et al. Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger Equations , 2011 .
[13] N. Akhmediev,et al. Waves that appear from nowhere and disappear without a trace , 2009 .
[14] Kharif Christian,et al. Rogue Waves in the Ocean , 2009 .
[15] Fabio Baronio,et al. Solutions of the vector nonlinear Schrödinger equations: evidence for deterministic rogue waves. , 2012, Physical review letters.
[16] Vladimir V. Konotop,et al. Vector rogue waves in binary mixtures of Bose-Einstein condensates , 2010 .
[17] B. Jalali,et al. Optical rogue waves , 2007, Nature.
[18] Yan‐Chow Ma,et al. The Perturbed Plane‐Wave Solutions of the Cubic Schrödinger Equation , 1979 .
[19] E. Kuznetsov,et al. Solitons in a parametrically unstable plasma , 1977 .
[20] Zhenyun Qin,et al. Matter rogue waves in an F=1 spinor Bose-Einstein condensate. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.
[21] J. Soto-Crespo,et al. Extreme waves that appear from nowhere: On the nature of rogue waves , 2009 .
[22] Roger Grimshaw,et al. Water Waves , 2021, Mathematics of Wave Propagation.
[23] Alfred R. Osborne,et al. Nonlinear Ocean Waves and the Inverse Scattering Transform , 2010 .
[24] Adrian Ankiewicz,et al. Discrete rogue waves of the Ablowitz-Ladik and Hirota equations. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[25] J. Fatome,et al. Observation of Kuznetsov-Ma soliton dynamics in optical fibre , 2012, Scientific Reports.
[26] Antonio Degasperis,et al. Multicomponent integrable wave equations: I. Darboux-dressing transformation , 2006, nlin/0610061.
[27] Malomed,et al. Internal dynamics of a vector soliton in a nonlinear optical fiber. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[28] Marquié,et al. Modulational instability of two counterpropagating waves in an experimental transmission line. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[29] Zhenyun Qin,et al. Rogue Waves for the Coupled Schrödinger–Boussinesq Equation and the Coupled Higgs Equation , 2012 .
[30] Wei-Guo Zhang,et al. Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations , 2013 .
[31] Adrian Ankiewicz,et al. Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[32] Alexander Tovbis,et al. Rogue waves: analytical predictions , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[33] M. Gregory Forest,et al. Nonfocusing Instabilities in Coupled, Integrable Nonlinear Schrödinger pdes , 2000, J. Nonlinear Sci..
[34] Pierre Gaillard,et al. On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation , 2010 .