Degenerate determinant representation of solutions of the nonlinear Schrödinger equation, higher order Peregrine breathers and multi-rogue waves

Pierre Gaillard

doi:10.1063/1.4773096

Degenerate determinant representation of solutions of the nonlinear Schrödinger equation, higher order Peregrine breathers and multi-rogue waves

Journal of Mathematical Physics ◽

10.1063/1.4773096 ◽

2013 ◽

Vol 54 (1) ◽

pp. 013504 ◽

Cited By ~ 30

Author(s):

Pierre Gaillard

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Determinant Representation ◽

Representation Of Solutions

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Complex nonlinearities of rogue waves in generalized inhomogeneous higher-order nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-015-2170-6 ◽

2015 ◽

Vol 82 (1-2) ◽

pp. 489-500 ◽

Cited By ~ 12

Author(s):

N. Song ◽

W. Zhang ◽

M. H. Yao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Multi-rogue waves for a higher-order nonlinear Schrödinger equation in optical fibers

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.05.031 ◽

2013 ◽

Vol 220 ◽

pp. 176-184 ◽

Cited By ~ 4

Author(s):

Fajun Yu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Fibers ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Two parameters wronskian representation of solutions of nonlinear Schrödinger equation, eighth Peregrine breather and multi-rogue waves

Journal of Mathematical Physics ◽

10.1063/1.4895020 ◽

2014 ◽

Vol 55 (9) ◽

pp. 093506 ◽

Cited By ~ 7

Author(s):

Pierre Gaillard

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Representation Of Solutions ◽

Two Parameters ◽

Peregrine Breather

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Rogue Waves and Their Dynamics on Bright-Dark Soliton Background of the Coupled Higher Order Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.7566/jpsj.88.074004 ◽

2019 ◽

Vol 88 (7) ◽

pp. 074004 ◽

Cited By ~ 22

Author(s):

Xue-Wei Yan ◽

Shou-Fu Tian ◽

Min-Jie Dong ◽

Tian-Tian Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Dark Soliton ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Breathers and Rogue Waves Derived from an Extended Multi-dimensional N -Coupled Higher-Order Nonlinear Schrödinger Equation in Optical Communication Systems

Communications in Theoretical Physics ◽

10.1088/0253-6102/70/3/255 ◽

2018 ◽

Vol 70 (3) ◽

pp. 255 ◽

Cited By ~ 2

Author(s):

Cheng-Lin Bai ◽

Yue-Jin Cai ◽

Qing-Long Luo

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Communication ◽

Communication Systems ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Optical Communication Systems

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Vector rogue waves, rogue wave-to-soliton conversions and modulation instability of the higher-order matrix nonlinear Schrödinger equation

The European Physical Journal Plus ◽

10.1140/epjp/i2018-12282-8 ◽

2018 ◽

Vol 133 (12) ◽

Cited By ~ 5

Author(s):

Wen-Rong Sun ◽

Lei Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Wave ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Order Matrix

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

Nonlinear Dynamics ◽

10.1007/s11071-015-2033-1 ◽

2015 ◽

Vol 81 (1-2) ◽

pp. 833-842 ◽

Cited By ~ 12

Author(s):

Yungqing Yang ◽

Xin Wang ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Rogue Waves of the Higher-Order Dispersive Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/58/4/15 ◽

2012 ◽

Vol 58 (4) ◽

pp. 531-538 ◽

Cited By ~ 22

Author(s):

Xiao-Li Wang ◽

Wei-Guo Zhang ◽

Bao-Guo Zhai ◽

Hai-Qiang Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Conservation laws, nonautonomous breathers and rogue waves for a higher-order nonlinear Schrödinger equation in the inhomogeneous optical fiber

Superlattices and Microstructures ◽

10.1016/j.spmi.2016.09.052 ◽

2016 ◽

Vol 100 ◽

pp. 381-391 ◽

Cited By ~ 8

Author(s):

Chuan-Qi Su ◽

Nan Qin ◽

Jian-Guang Li

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrödinger equation with modulating coefficients

Journal of Optics ◽

10.1088/2040-8978/15/6/064012 ◽

2013 ◽

Vol 15 (6) ◽

pp. 064012 ◽

Cited By ~ 48

Author(s):

Zhenya Yan ◽

Chaoqing Dai

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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