Soliton solutions and Backlund transformation for the generalized inhomogeneous coupled nonlinear Schrodinger equations via symbolic computation

被引:3
|
作者
Wang, Pan [1 ]
Tian, Bo [1 ,2 ,3 ]
Liu, Wen-Jun [1 ]
Liu, Ying [4 ,5 ]
Qu, Qi-Xing [1 ]
机构
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Key Lab Informat Photon & Opt Commun, Minist Educ, Beijing 100876, Peoples R China
[4] Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, Beijing 100191, Peoples R China
[5] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
ION-ACOUSTIC-WAVES; PAINLEVE PROPERTY; OPTICAL-FIBERS; DUSTY PLASMA; MODEL; NEBULONS; SPACE;
D O I
10.1088/0031-8949/80/06/065012
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The generalized inhomogeneous coupled nonlinear Schrodinger (CNLS) equations are under investigation in this paper. Based on the Hirota method, the bilinear form and analytic one-, two-and N-soliton solutions are obtained, of which some properties are discussed simultaneously. Furthermore, with symbolic computation, the Backlund transformation and some sample soliton solutions for the inhomogeneous CNLS equations are given.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Symbolic computation on Backlund transformation and soliton solutions for a generalized nonlinear Schrodinger equation in inhomogeneous fibers
    Wang, Pan
    Tian, Bo
    Jiang, Yan
    Wang, Ming
    [J]. PHYSICA SCRIPTA, 2013, 87 (04)
  • [2] Darboux Transformation and Soliton Solutions for Inhomogeneous Coupled Nonlinear Schrodinger Equations with Symbolic Computation
    Xue Yu-Shan
    Tian Bo
    Zhang Hai-Qiang
    Liu Wen-Jun
    Li Li-Li
    Qi Feng-Hua
    Zhan Yan
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (05) : 888 - 896
  • [3] Symbolic computation on soliton dynamics and Backlund transformation for the generalized coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity
    Wang, Pan
    Tian, Bo
    [J]. JOURNAL OF MODERN OPTICS, 2012, 59 (20) : 1786 - 1796
  • [4] Soliton solutions and Backlund transformation for the normalized linearly coupled nonlinear wave equations with symbolic computation
    Qu, Qi-Xing
    Tian, Bo
    Liu, Wen-Jun
    Wang, Pan
    Jiang, Yan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10386 - 10392
  • [6] Solitonic solutions and Backlund transformation for the inhomogeneous N-coupled nonlinear Schrodinger equations
    Meng, Xiang-Hua
    Tian, Bo
    Xu, Tao
    Zhang, Hai-Qiang
    Feng, Qian
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (2-3) : 209 - 217
  • [7] Soliton interactions for coupled nonlinear Schrodinger equations with symbolic computation
    Liu, Wen-Jun
    Pan, Nan
    Huang, Long-Gang
    Lei, Ming
    [J]. NONLINEAR DYNAMICS, 2014, 78 (01) : 755 - 770
  • [8] Symbolic computation on the bright soliton solutions for the generalized coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity
    Wang, Pan
    Tian, Bo
    [J]. OPTICS COMMUNICATIONS, 2012, 285 (16) : 3567 - 3577
  • [9] Solitonic interaction and Backlund transformation for a generalized inhomogeneous coupled nonlinear Schrodinger system
    Sun, Yan
    Tian, Bo
    [J]. OPTICAL ENGINEERING, 2017, 56 (12)
  • [10] A bilinear Backlund transformation and N-soliton-like solution of three coupled higher-order nonlinear Schrodinger equations with symbolic computation
    Zhu Hong-Wu
    Tian Bo
    Meng Xiang-Hua
    Li Juan
    Xu Tao
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (03) : 689 - 695