Painleve Analysis and Darboux Transformation for a Variable-Coefficient Boussinesq System in Fluid Dynamics with Symbolic Computation

被引：0
作者：
Li Hong-Zhe [1 ]
Tian Bo [1 ,2 ,3 ]
Li Li-Li [1 ]
Zhang Hai-Qiang [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, Minist Educ, Key Lab Opt Commun & Lightwave Technol, Beijing 100876, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 05期
基金：
中国国家自然科学基金;
关键词：
variable-coefficient Boussinesq system; Lax pair; Darboux transformation; soliton solutions; symbolic computation; TRAVELING-WAVE SOLUTIONS; EQUATIONS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The new soliton solutions for the variable-coefficient Boussinesq system, whose applications are seen in fluid dynamics, are studied in this paper with symbolic computation. First, the Pain love analysis is used to investigate its integrability properties. For the identified case we give, the Lax pair of the system is found, and then the Darboux transformation is constructed. At last, some new soliton solutions are presented via the Darboux method. Those solutions might be of some value in fluid dynamics.
引用
收藏
页码：831 / 836
页数：6
相关论文
共 50 条
  • [41] THE PAINLEVE INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES
    Wang, Ming-Zhen
    Gao, Yi-Tian
    Zhang, Cheng
    Meng, Xiang-Hua
    Yu, Xin
    Xu, Tao
    Feng, Qian
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (18): : 3609 - 3626
  • [42] VARIABLE-COEFFICIENT MIURA TRANSFORMATIONS AND INTEGRABLE PROPERTIES FOR A GENERALIZED VARIABLE-COEFFICIENT KORTEWEG-de VRIES EQUATION FROM BOSE-EINSTEIN CONDENSATES WITH SYMBOLIC COMPUTATION
    Li, Juan
    Tian, Bo
    Meng, Xiang-Hua
    Xu, Tao
    Zhang, Chun-Yi
    Zhang, Ya-Xing
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (04): : 571 - 584
  • [43] Multi-soliton solutions and a Backlund transformation for a generalized variable-coefficient higher-order nonlinear Schrodinger equation with symbolic computation
    Meng, Xiang-Hua
    Liu, Wen-Jun
    Zhu, Hong-Wu
    Zhang, Chun-Yi
    Tian, Bo
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (01) : 97 - 107
  • [44] Painleve Analysis, Soliton Solutions and Backlund Transformation for Extended (2+1)-Dimensional Konopelchenko-Dubrovsky Equations in Fluid Mechanics via Symbolic Computation
    Xu Peng-Bo
    Gao Yi-Tian
    Yu Xin
    Wang Lei
    Lin Guo-Dong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (06) : 1017 - 1023
  • [45] Transformations and Soliton Solutions for a Variable-coefficient Nonlinear Schrodinger Equation in the Dispersion Decreasing Fiber with Symbolic Computation
    Zeng, Zhi-Fang
    Liu, Jian-Guo
    Jiang, Yan
    Nie, Bin
    FUNDAMENTA INFORMATICAE, 2016, 145 (02) : 207 - 219
  • [46] Symbolic computation on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves
    Gao, Xin-Yi
    Guo, Yong-Jiang
    Shan, Wen-Rui
    CHAOS SOLITONS & FRACTALS, 2021, 150
  • [47] ON THE EXISTENCE OF INFINITE CONSERVATION LAWS OF A VARIABLE-COEFFICIENT KORTEWEG-DE VRIES MODEL WITH SYMBOLIC COMPUTATION
    Zhu, Hong-Wu
    Tian, Bo
    MODERN PHYSICS LETTERS B, 2011, 25 (20): : 1683 - 1689
  • [48] Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrodinger system in an inhomogeneous optical fiber
    Yang, Dan-Yu
    Tian, Bo
    Tian, He-Yuan
    Wei, Cheng-Cheng
    Shan, Wen-Rui
    Jiang, Yan
    CHAOS SOLITONS & FRACTALS, 2022, 156
  • [49] RETRACTED: In nonlinear optics, fluid mechanics, plasma physics or atmospheric science: symbolic computation on a generalized variable-coefficient Korteweg-de Vries equation (Retracted Article)
    Gao, Xin-Yi
    Guo, Yong-Jiang
    Shan, Wen-Rui
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022,
  • [50] ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION USING SYMBOLIC COMPUTATION
    Zhang, Cheng
    Tian, Bo
    Li, Li-Li
    Xu, Tao
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (27): : 5359 - 5370
12345