Soliton solutions and Bäcklund transformation for the generalized inhomogeneous coupled nonlinear Schrödinger equations via symbolic computation

Physica Scripta ◽

10.1088/0031-8949/80/06/065012 ◽

2009 ◽

Vol 80 (6) ◽

pp. 065012 ◽

Author(s):

Pan Wang ◽

Bo Tian ◽

Wen-Jun Liu ◽

Ying Liu ◽

Qi-Xing Qu

Keyword(s):

Symbolic Computation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2008.09.033 ◽

2009 ◽

Vol 388 (2-3) ◽

pp. 209-217 ◽

Author(s):

Xiang-Hua Meng ◽

Bo Tian ◽

Tao Xu ◽

Hai-Qiang Zhang ◽

Qian Feng

Keyword(s):

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Symbolic computation on soliton dynamics and Bäcklund transformation for the generalized coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity

Journal of Modern Optics ◽

10.1080/09500340.2012.744478 ◽

2012 ◽

Vol 59 (20) ◽

pp. 1786-1796 ◽

Author(s):

Pan Wang ◽

Bo Tian

Keyword(s):

Symbolic Computation ◽

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Quintic Nonlinearity ◽

Soliton Dynamics ◽

Nonlinear Schrodinger Equations

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Symbolic computation on the bright soliton solutions for the generalized coupled nonlinear Schrödinger equations with cubic–quintic nonlinearity

Optics Communications ◽

10.1016/j.optcom.2012.04.023 ◽

2012 ◽

Vol 285 (16) ◽

pp. 3567-3577 ◽

Author(s):

Pan Wang ◽

Bo Tian

Keyword(s):

Symbolic Computation ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Bright Soliton ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Quintic Nonlinearity ◽

Nonlinear Schrodinger Equations

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Bäcklund transformation and conservation laws for the variable-coefficient N-coupled nonlinear Schrödinger equations with symbolic computation

Acta Mathematica Sinica English Series ◽

10.1007/s10114-011-0531-8 ◽

2011 ◽

Vol 28 (5) ◽

pp. 969-974 ◽

Author(s):

Xiang Hua Meng ◽

Bo Tian ◽

Tao Xu ◽

Hai Qiang Zhang

Keyword(s):

Conservation Laws ◽

Symbolic Computation ◽

Variable Coefficient ◽

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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A Bilinear Bäcklund Transformation and N -Soliton-Like Solution of Three Coupled Higher-Order Nonlinear Schrödinger Equations with Symbolic Computation

Communications in Theoretical Physics ◽

10.1088/0253-6102/50/3/34 ◽

2008 ◽

Vol 50 (3) ◽

pp. 689-695 ◽

Author(s):

Zhu Hong-Wu ◽

Tian Bo ◽

Meng Xiang-Hua ◽

Li Juan ◽

Xu Tao

Keyword(s):

Symbolic Computation ◽

Bäcklund Transformation ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Bilinear Bäcklund Transformation

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Darboux Transformation and Soliton Solutions for Inhomogeneous Coupled Nonlinear Schrödinger Equations with Symbolic Computation

Communications in Theoretical Physics ◽

10.1088/0253-6102/52/5/26 ◽

2009 ◽

Vol 52 (5) ◽

pp. 888-896 ◽

Author(s):

Xue Yu-Shan ◽

Tian Bo ◽

Zhang Hai-Qiang ◽

Liu Wen-Jun ◽

Li Li-Li ◽

...

Keyword(s):

Symbolic Computation ◽

Darboux Transformation ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

Nonlinear Dynamics ◽

10.1007/s11071-014-1474-2 ◽

2014 ◽

Vol 78 (1) ◽

pp. 755-770 ◽

Author(s):

Wen-Jun Liu ◽

Nan Pan ◽

Long-Gang Huang ◽

Ming Lei

Keyword(s):

Symbolic Computation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

Physical Review Letters ◽

10.1103/physrevlett.86.5043 ◽

2001 ◽

Vol 86 (22) ◽

pp. 5043-5046 ◽

Author(s):

T. Kanna ◽

M. Lakshmanan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Partially Coherent ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exact Soliton Solutions

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Multi-soliton solutions of coupled nonlinear Schrödinger Equations

Chinese Physics Letters ◽

10.1088/0256-307x/4/4/011 ◽

1987 ◽

Vol 4 (4) ◽

pp. 185-187 ◽

Author(s):

Yan Zhida

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations

Journal of Modern Optics ◽

10.1080/09500340903531370 ◽

2010 ◽

Vol 57 (4) ◽

pp. 261-272 ◽

Author(s):

C.G. Latchio Tiofack ◽

Alidou Mohamadou ◽

Timoléon C. Kofané ◽

K. Porsezian

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Soliton Interaction ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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