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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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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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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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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Similarity reductions for variable-coefficient coupled nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/26/16/025 ◽

1993 ◽

Vol 26 (16) ◽

pp. 4093-4106 ◽

Author(s):

N Manganaro ◽

D F Parker

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Similarity Reductions

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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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Conservation Laws of Deformed N-Coupled Nonlinear Schrödinger Equations and Deformed N-Coupled Hirota Equations

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0766-0 ◽

2020 ◽

Vol 6 (1) ◽

Author(s):

S. Suresh Kumar ◽

R. Sahadevan

Keyword(s):

Conservation Laws ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Hirota Equations

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Interactions among periodic optical solitons for the variable coefficient coupled nonlinear Schrödinger equations

Optik ◽

10.1016/j.ijleo.2020.165621 ◽

2021 ◽

Vol 226 ◽

pp. 165621

Author(s):

Xiao-Min Wang ◽

Xiao-Xiao Hu

Keyword(s):

Variable Coefficient ◽

Optical Solitons ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled 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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Interactions of bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation

Physica Scripta ◽

10.1088/0031-8949/75/4/028 ◽

2007 ◽

Vol 75 (4) ◽

pp. 537-542 ◽

Author(s):

Hai-Qiang Zhang ◽

Xiang-Hua Meng ◽

Tao Xu ◽

Li-Li Li ◽

Bo Tian

Keyword(s):

Symbolic Computation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Optical Fibres ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Bright Solitons ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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