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

Xiao-Min Wang; Ling-Ling Zhang

doi:10.1007/s11071-017-3377-5

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

Download Full-text

Hirota method for the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential

Annals of Physics ◽

10.1016/j.aop.2006.11.012 ◽

2007 ◽

Vol 322 (11) ◽

pp. 2545-2553 ◽

Cited By ~ 33

Author(s):

Zai-Dong Li ◽

Qiu-Yan Li ◽

Xing-Hua Hu ◽

Zhong-Xi Zheng ◽

Yubao Sun

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Linear Time ◽

Nonlinear Schrodinger Equation ◽

Hirota Method ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Dependent Potential

Download Full-text

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

Download Full-text

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

Download Full-text

Soliton solutions of cubic–quintic nonlinear Schrödinger equation with combined time-dependent magnetic–optical potentials

Indian Journal of Physics ◽

10.1007/s12648-015-0684-x ◽

2015 ◽

Vol 89 (10) ◽

pp. 1065-1075 ◽

Cited By ~ 3

Author(s):

H. M. Li ◽

J. Q. Zhao ◽

L. Y. You

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Optical Potentials ◽

Quintic Nonlinear Schrödinger Equation

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text