Symbolic Computation Study of (2+1)-Dimensional Dispersive Long Wave Equations

被引:0
|
作者
LU Zhuo-Sheng~(1
机构
基金
中国博士后科学基金;
关键词
dispersive long wave equations; symbolic computation; exact solution; localized structure;
D O I
暂无
中图分类号
O411.1 [数学物理方法]; O175.2 [偏微分方程];
学科分类号
0701 ; 070104 ;
摘要
Seeking exact analytical solutions of nonlinear evolution equations is of fundamental importance in mathematical physics. In this paper, based on a constructive algorithm and symbolic computation, abundant new exact solutions of the (2+1)-dimensional dispersive long wave equations are obtained, among which there are soliton-like solutions, mult-soliton-like solutions and formal periodic solutions, etc. Certain special solutions are considered and some interesting localized structures are revealed.
引用
收藏
页码:199 / 202
页数:4
相关论文
共 50 条
  • [21] Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations
    Wang, Deng-Shan
    Li, Hongbo
    CHAOS SOLITONS & FRACTALS, 2008, 38 (02) : 383 - 390
  • [22] Solutions of a (2+1)-dimensional dispersive long wave equation
    Chen, CL
    Tang, XY
    Lou, SY
    PHYSICAL REVIEW E, 2002, 66 (03): : 1 - 036605
  • [23] Exact Combined Solutions for the (2+1)-Dimensional Dispersive Long Water-Wave Equations
    Wei, Yi
    Zhang, Xing-Qiu
    Shao, Zhu-Yan
    Gu, Lu-Feng
    Yang, Xiao-Feng
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [24] Some analytical solutions for the (2+1)-dimensional nonintegrable and integrable dispersive long wave equations
    B. Tian
    K. Y. Zhao
    Y. -T. Gao
    Acta Mechanica, 1998, 129 : 133 - 135
  • [25] New soliton-like solutions to the (2+1)-dimensional dispersive long wave equations
    Zeng, X
    Zhang, HQ
    ACTA PHYSICA SINICA, 2005, 54 (02) : 504 - 510
  • [26] Soliton-like solutions to the (2+1)-dimensional integrable dispersive long wave equations
    Tian, B
    Gao, YT
    PHYSICA SCRIPTA, 1996, 53 (06): : 641 - 642
  • [27] New exact solutions to dispersive long-wave equations in (2+1)-dimensional space
    Tian, YH
    Chen, HL
    Liu, XQ
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (02) : 207 - 210
  • [28] Some analytical solutions for the (2+1)-dimensional nonintegrable and integrable dispersive long wave equations
    Tian, B
    Zhao, KY
    Gao, YT
    ACTA MECHANICA, 1998, 129 (1-2) : 133 - 135
  • [29] New Exact Solutions to Dispersive Long-Wave Equations in(2+1)-Dimensional Space
    TIAN Ying-Hui~1 CHEN Han-Lin~1 and LIU Xi-Qiang~21 School of Mathematics and Physics
    CommunicationsinTheoreticalPhysics, 2006, 45 (02) : 207 - 210
  • [30] SYMMETRIES AND ALGEBRAS OF THE INTEGRABLE DISPERSIVE LONG-WAVE EQUATIONS IN (2+1)-DIMENSIONAL SPACES
    LOU, SY
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (09): : 3235 - 3243