Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.12.009 ◽

2012 ◽

Vol 17 (8) ◽

pp. 3247-3257 ◽

Author(s):

Shou-Fu Tian ◽

Li Zou ◽

Qi Ding ◽

Hong-Qing Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Matter Wave ◽

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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Lie Symmetry Analysis of the Nonlinear Schrödinger Equation with Time Dependent Variable Coefficients

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00953-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Preeti Devi ◽

K. Singh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Nonlinear Schrodinger Equation ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

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Complete symmetry reductions, conservation laws and exact solutions for a (2 + 1)-dimensional nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166504 ◽

2021 ◽

Vol 232 ◽

pp. 166504

Author(s):

Hongyan Zhi

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Symmetry Reductions ◽

Complete Symmetry

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Kinetic and thermodynamical interpretation of the conservation laws of a nonlinear Schrödinger equation and other completely integrable systems

Il Nuovo Cimento B ◽

10.1007/bf02721517 ◽

1985 ◽

Vol 85 (1) ◽

pp. 1-16 ◽

Author(s):

T. A. Minelli ◽

A. Pascolini

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Integrable Systems ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Completely Integrable Systems ◽

Nonlinear Schrödinger ◽

Completely Integrable

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Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrödinger Equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518110106 ◽

2018 ◽

Vol 58 (11) ◽

pp. 1856-1864

Author(s):

Pan Wang ◽

Feng-Hua Qi ◽

Jian-Rong Yang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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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 ◽

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

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Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms

Physical Review A ◽

10.1103/physreva.51.4704 ◽

1995 ◽

Vol 51 (6) ◽

pp. 4704-4711 ◽

Author(s):

P. A. Ruprecht ◽

M. J. Holland ◽

K. Burnett ◽

Mark Edwards

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Neutral Atoms ◽

Nonlinear Schrödinger ◽

Time Dependent Solution

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Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931594 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103112 ◽

Author(s):

Yunqing Yang ◽

Zhenya Yan ◽

Boris A. Malomed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Integrability conditions and solitonic solutions of the nonlinear Schrödinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.07.015 ◽

2019 ◽

Vol 69 ◽

pp. 248-260 ◽

Author(s):

U. Al Khawaja ◽

H. Bahlouli

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Space And Time ◽

Integrability Conditions ◽

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Bäcklund transformations, conservation laws and lie symmetries for the generalized nonlinear Schrödinger equation

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/3-540-10271-x_326 ◽

2007 ◽

pp. 170-173 ◽

Author(s):

J. Harnad ◽

P. Winternitz

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Lie Symmetries ◽

Bäcklund Transformations ◽

Nonlinear Schrödinger ◽

Backlund Transformations ◽

Generalized Nonlinear Schrödinger Equation

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