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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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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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 ◽

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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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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Conservation laws and rogue waves for a higher-order nonlinear Schrödinger equation with variable coefficients in the inhomogeneous fiber

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.04.010 ◽

2017 ◽

Vol 107 ◽

pp. 310-319 ◽

Author(s):

Zhong Du ◽

Bo Tian ◽

Xiao-Yu Wu ◽

Lei Liu ◽

Yan Sun

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Variable Coefficients ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

The European Physical Journal B ◽

10.1140/epjb/e2009-00356-3 ◽

2009 ◽

Vol 72 (2) ◽

pp. 233-239 ◽

Author(s):

Hai-Qiang Zhang ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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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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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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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 ◽

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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Conservation laws and dark-soliton solutions of an integrable higher-order nonlinear Schrödinger equation for a density-modulated quantum condensate

Physica Scripta ◽

10.1088/0031-8949/90/4/045205 ◽

2015 ◽

Vol 90 (4) ◽

pp. 045205 ◽

Author(s):

De-Yin Liu ◽

Bo Tian ◽

Wen-Rong Sun ◽

Yun-Po Wang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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