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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Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose–Einstein condensates

Annals of Physics ◽

10.1016/j.aop.2008.04.008 ◽

2008 ◽

Vol 323 (10) ◽

pp. 2554-2565 ◽

Author(s):

Xing Lü ◽

Bo Tian ◽

Tao Xu ◽

Ke-Jie Cai ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Analytical Study ◽

Linear Time ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

One Dimensional ◽

Dependent Potential ◽

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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 ◽

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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Nonlinear Schrödinger equation with time dependent potential

Communications in Mathematical Sciences ◽

10.4310/cms.2011.v9.n4.a1 ◽

2011 ◽

Vol 9 (4) ◽

pp. 937-964 ◽

Author(s):

Rémi Carles

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Dependent Potential

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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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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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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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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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Collapse of Solutions of the Nonlinear Schrödinger Equation with a Time-Dependent Nonlinearity: Application to Bose-Einstein Condensates

Physical Review Letters ◽

10.1103/physrevlett.94.240405 ◽

2005 ◽

Vol 94 (24) ◽

Author(s):

V. V. Konotop ◽

P. Pacciani

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

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Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(96)00068-5 ◽

1996 ◽

Vol 31 (11) ◽

pp. 115-119 ◽

Author(s):

Bo Tian ◽

Yi-Tian Gao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Computer Algebra ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Painlevé Analysis ◽

Nonlinear Schrödinger ◽

Painleve Analysis

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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 ◽

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

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