Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104915 ◽

2019 ◽

Vol 79 ◽

pp. 104915 ◽

Author(s):

Lijuan Guo ◽

Lihong Wang ◽

Yi Cheng ◽

Jingsong He

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Two Component ◽

Derivative Nonlinear Schrödinger Equation

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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) ◽

Author(s):

Wen-Rong Sun ◽

Lei Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Breather interactions, higher-order rogue waves and nonlinear tunneling for a derivative nonlinear Schrödinger equation in inhomogeneous nonlinear optics and plasmas

The European Physical Journal D ◽

10.1140/epjd/e2015-50877-1 ◽

2015 ◽

Vol 69 (4) ◽

Author(s):

Lei Wang ◽

Min Li ◽

Feng-Hua Qi ◽

Chao Geng

Keyword(s):

Nonlinear Optics ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Modulation instability, rogue waves and conservation laws in higher-order nonlinear Schrödinger equation

Communications in Theoretical Physics ◽

10.1088/1572-9494/abcfb6 ◽

2021 ◽

Vol 73 (2) ◽

pp. 025001

Author(s):

Min-Jie Dong ◽

Li-Xin Tian

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Higher-order derivative nonlinear Schrödinger equation in the critical case

Journal of Mathematical Physics ◽

10.1063/1.5008500 ◽

2018 ◽

Vol 59 (2) ◽

pp. 021506

Author(s):

Pavel I. Naumkin ◽

Jhon J. Perez

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Case ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Order Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Higher Order Derivative

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Breathers and breather-rogue waves on a periodic background for the derivative nonlinear Schrödinger equation

Physica Scripta ◽

10.1088/1402-4896/ab783e ◽

2020 ◽

Vol 95 (5) ◽

pp. 055216

Author(s):

Bo Xue ◽

Jing Shen ◽

Xianguo Geng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Periodic standing waves in the focusing nonlinear Schrödinger equation: Rogue waves and modulation instability

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2020.132378 ◽

2020 ◽

Vol 405 ◽

pp. 132378 ◽

Author(s):

Jinbing Chen ◽

Dmitry E. Pelinovsky ◽

Robert E. White

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Standing Waves ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Periodic Standing Waves

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Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104877 ◽

2019 ◽

Vol 78 ◽

pp. 104877 ◽

Author(s):

Jing Shen ◽

Xianguo Geng ◽

Bo Xue

Keyword(s):

Schrödinger Equation ◽

Symmetric Space ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Nonlinear Schrodinger Equation ◽

Hermitian Symmetric Space ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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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 ◽

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 ◽

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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Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-021-06953-8 ◽

2021 ◽

Author(s):

Huijuan Zhou ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Time Derivative ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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