Soliton Solutions and Soliton Interactions for the Coupled Nonlinear Schrödinger Equation with Varying Coefficients

Jinping Tian; Jihong Li; Linsheng Kang; Guosheng Zhou

doi:10.1238/physica.regular.072a00394

Soliton Solutions and Soliton Interactions for the Coupled Nonlinear Schrödinger Equation with Varying Coefficients

Physica Scripta ◽

10.1238/physica.regular.072a00394 ◽

2005 ◽

Vol 72 (5) ◽

pp. 394-398 ◽

Cited By ~ 15

Author(s):

Jinping Tian ◽

Jihong Li ◽

Linsheng Kang ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Varying Coefficients ◽

Coupled Nonlinear Schrödinger Equation

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Soliton solutions, soliton-type solutions and rational solutions for the coupled nonlinear Schrödinger equation in magneto-optic waveguides

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01113-8 ◽

2021 ◽

Vol 136 (2) ◽

Author(s):

Muhammad Bilal Riaz ◽

Abdon Atangana ◽

Adil Jhangeer ◽

Sana Tahir

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Magneto Optic

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3-Soliton Solutions of Multi-Component Coupled Nonlinear Schrodinger Equation and Their Interaction

Acta Optica Sinica ◽

10.3788/aos201939.0419001 ◽

2019 ◽

Vol 39 (4) ◽

pp. 0419001

Author(s):

赵岩 Zhao Yan ◽

宋丽军 Song Lijun ◽

王艳 Wang Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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The nonautonomous N-soliton solutions for coupled nonlinear Schrödinger equation with arbitrary time-dependent potential

Nonlinear Dynamics ◽

10.1007/s11071-017-3377-5 ◽

2017 ◽

Vol 88 (3) ◽

pp. 2291-2302 ◽

Cited By ~ 4

Author(s):

Xiao-Min Wang ◽

Ling-Ling Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Arbitrary Time ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Dependent Potential

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New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.023 ◽

2014 ◽

Vol 233 ◽

pp. 351-358 ◽

Cited By ~ 5

Author(s):

Fajun Yu ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Rogue Waves ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Generalized Darboux transformation, semi-rational solutions and novel degenerate soliton solutions for a coupled nonlinear Schrödinger equation

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01400-4 ◽

2021 ◽

Vol 136 (4) ◽

Author(s):

Hong-Yi Zhang ◽

Yu-Feng Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Darboux Transformation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Generalized Darboux Transformation

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Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation

Chinese Physics B ◽

10.1088/1674-1056/ab84ce ◽

2020 ◽

Vol 29 (6) ◽

pp. 064211

Author(s):

Li-Jun Song ◽

Xiao-Ya Xu ◽

Yan Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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The pair-transition-coupled nonlinear Schrödinger equation: The Riemann-Hilbert problem and N-soliton solutions

The European Physical Journal Plus ◽

10.1140/epjp/i2019-12439-y ◽

2019 ◽

Vol 134 (2) ◽

Cited By ~ 7

Author(s):

Xiu-Bin Wang ◽

Bo Han

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Riemann Hilbert Problem

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Bilinearization of the generalized coupled nonlinear Schrödinger equation with variable coefficients and gain and dark-bright pair soliton solutions

Physical Review E ◽

10.1103/physreve.91.023210 ◽

2015 ◽

Vol 91 (2) ◽

Cited By ~ 22

Author(s):

Sushmita Chakraborty ◽

Sudipta Nandy ◽

Abhijit Barthakur

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term

Nonlinear Dynamics ◽

10.1007/s11071-021-06411-5 ◽

2021 ◽

Author(s):

Lili Wang ◽

Zitong Luan ◽

Qin Zhou ◽

Anjan Biswas ◽

Abdullah Kamis Alzahrani ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Four Wave Mixing ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Wave Mixing ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Analytical soliton solutions for the general nonlinear Schrödinger equation including linear and nonlinear gain (loss) with varying coefficients

Optics Communications ◽

10.1016/j.optcom.2010.06.062 ◽

2010 ◽

Vol 283 (21) ◽

pp. 4372-4377 ◽

Cited By ~ 14

Author(s):

Wang Liang-liang ◽

Qian Cun ◽

Dai Chao-qing ◽

Zhang Jiefang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Gain ◽

Nonlinear Schrödinger ◽

Varying Coefficients ◽

Linear And Nonlinear ◽

Gain Loss

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