The novel multi-solitary wave solution to the fifth-order KdV equation

被引:6
|
作者
Zhang, Y [1 ]
Chen, DY
机构
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源
CHINESE PHYSICS | 2004年 / 13卷 / 10期
关键词
solitary wave; bilinear method; Backlund transformation; fifth-order KdV equation;
D O I
10.1088/1009-1963/13/10/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By using Hirota's method, the novel multi-solitary wave solutions to the fifth-order KdV equation are obtained. Furthermore, various new solitary wave solutions are also derived by a reconstructed bilinear Backlund transformation.
引用
收藏
页码:1606 / 1610
页数:5
相关论文
共 50 条
  • [1] On the stability of solitary wave solutions of the fifth-order KdV equation
    Buryak, AV
    Champneys, AR
    PHYSICS LETTERS A, 1997, 233 (1-2) : 58 - 62
  • [2] On the stability of solitary wave solutions of the fifth-order KdV equation
    Buryak, A.V.
    Champneys, A.R.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1997, 233 (1-2): : 58 - 62
  • [3] Existence of Solitary Wave Solutions for a Nonlinear Fifth-Order KdV Equation
    Xiaofeng Li
    Zengji Du
    Jiang Liu
    Qualitative Theory of Dynamical Systems, 2020, 19
  • [4] Existence of Solitary Wave Solutions for a Nonlinear Fifth-Order KdV Equation
    Li, Xiaofeng
    Du, Zengji
    Liu, Jiang
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (01)
  • [5] Modeling Solitary Waves of the Fifth-order KdV Equation
    Tao, Zhao-Ling
    Gui, Bing
    Yang, Yang
    Qiu, Ming-Fei
    PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS, 2010, : 228 - 231
  • [6] Numerical solution of the fifth-order KdV equation for shallow-water solitary waves
    Sachs, A
    Lee, JH
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1996, 111 (12): : 1429 - 1431
  • [7] ON SIMULTANEOUS SOLUTION OF THE KDV EQUATION AND A FIFTH-ORDER DIFFERENTIAL EQUATION
    Garifullin, R. N.
    UFA MATHEMATICAL JOURNAL, 2016, 8 (04): : 52 - 61
  • [8] Perturbation solution of the fifth-order KdV equation for shallow-water solitary waves
    Sachs, A
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2004, 119 (04): : 381 - 383
  • [9] Integrability and wave solutions for fifth-order KdV type equation
    Gaber, A. A.
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2020, 7 (04): : 103 - 106
  • [10] Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
    Bridges, TJ
    Derks, G
    Gottwald, G
    PHYSICA D-NONLINEAR PHENOMENA, 2002, 172 (1-4) : 190 - 216