N-soliton solutions, Bäcklund transformation and Conservation laws for the integro-differential nonlinear Schrödinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain

Журнал вычислительной математики и математической физики ◽

10.7868/s0044466914040127 ◽

2014 ◽

Vol 54 (4) ◽

pp. 720-720

Author(s):

P. Wang ◽

B. Tian ◽

W.-J. Liu ◽

K. Sun

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Heisenberg Spin ◽

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Symbolic computation on Bäcklund transformation and soliton solutions for a generalized nonlinear Schrödinger equation in inhomogeneous fibers

Physica Scripta ◽

10.1088/0031-8949/87/04/045014 ◽

2013 ◽

Vol 87 (4) ◽

pp. 045014

Author(s):

Pan Wang ◽

Bo Tian ◽

Yan Jiang ◽

Ming Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Symbolic Computation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Higher Conservation Laws for the Nonlinear Schrodinger Equation through Backlund Transformation

Progress of Theoretical Physics ◽

10.1143/ptp.53.585 ◽

1975 ◽

Vol 53 (2) ◽

pp. 585-586 ◽

Author(s):

J. Satsuma

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger

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Multi-soliton solutions and a Bäcklund transformation for a generalized variable-coefficient higher-order nonlinear Schrödinger equation with symbolic computation

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2007.08.028 ◽

2008 ◽

Vol 387 (1) ◽

pp. 97-107 ◽

Author(s):

Xiang-Hua Meng ◽

Wen-Jun Liu ◽

Hong-Wu Zhu ◽

Chun-Yi Zhang ◽

Bo Tian

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Symbolic Computation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation

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Soliton Solutions and Bilinear Bäcklund Transformation for Generalized Nonlinear Schrödinger Equation with Radial Symmetry

Communications in Theoretical Physics ◽

10.1088/0253-6102/54/4/10 ◽

2010 ◽

Vol 54 (4) ◽

pp. 635-640 ◽

Author(s):

Jiang Yan ◽

Tian Bo ◽

Liu Wen-Jun ◽

Sun Kun ◽

Qu Qi-Xing

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Radial Symmetry ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Bilinear Bäcklund Transformation ◽

Generalized Nonlinear Schrödinger Equation

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N-soliton solutions, Bäcklund transformation and conservation laws for the integro-differential nonlinear Schröbinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542514040125 ◽

2014 ◽

Vol 54 (4) ◽

pp. 727-743 ◽

Author(s):

Pan Wang ◽

Bo Tian ◽

Wen-Jun Liu ◽

Kun Sun

Keyword(s):

Conservation Laws ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Backlund Transformation ◽

Heisenberg Spin ◽

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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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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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Symbolic computation, Bäcklund transformation and analytic N-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.02.040 ◽

2009 ◽

Vol 356 (1) ◽

pp. 193-200 ◽

Author(s):

Hong-Wu Zhu ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Zhen-Zhi Yao ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Symbolic Computation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger ◽

Laboratory Plasmas

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Conservation laws and soliton solutions for a nonlinear Schrödinger equation with self-consistent sources in plasmas

Physica Scripta ◽

10.1088/0031-8949/81/04/045008 ◽

2010 ◽

Vol 81 (4) ◽

pp. 045008 ◽

Author(s):

Min Li ◽

Bo Tian ◽

Wen-Jun Liu ◽

Kun Sun ◽

Yan Jiang ◽

...

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Consistent

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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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