Evolution property of soliton solutions for the Whitham-Broer-Kaup equation and variant Boussinesq equation

被引：35
|
作者：
Ji, L [1 ]
Xu, YS
Wu, FM
机构：
[1] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
来源：
CHINESE PHYSICS | 2003年 / 12卷 / 10期
关键词：
soliton solution; soliton fission and fusion; Painleve analysis approach; (1+1) -dimensional partial differential equation;
D O I：
10.1088/1009-1963/12/10/301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using the standard Painleve analysis approach, the (1 + 1)-dimensional Whitham-Broer-Kaup (WBK) and variant Boussinesq equations are solved. Some significant and exact solutions are given. We investigate the behaviour of the interactions between the multi-soliton-kink-type solution for the WBK equation and the multi-solitonic solutions and find the interactions are not elastic. The fission of solutions for the WBK equation and the fusions of those for the variant Boussinesq equation may occur after their interactions.
引用
收藏
页码：1049 / 1053
页数：5
相关论文
共 50 条
  • [1] New groups of solutions to the Whitham-Broer-Kaup equation
    Yaji Wang
    Hang Xu
    Q. Sun
    Applied Mathematics and Mechanics, 2020, 41 : 1735 - 1746
  • [2] New groups of solutions to the Whitham-Broer-Kaup equation
    Yaji WANG
    Hang XU
    Q.SUN
    AppliedMathematicsandMechanics(EnglishEdition), 2020, 41 (11) : 1735 - 1746
  • [3] New groups of solutions to the Whitham-Broer-Kaup equation
    Wang, Yaji
    Xu, Hang
    Sun, Q.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2020, 41 (11) : 1735 - 1746
  • [4] Residual symmetries and interaction solutions for the Whitham-Broer-Kaup equation
    Fei, Jinxi
    Ma, Zhengyi
    Cao, Weiping
    NONLINEAR DYNAMICS, 2017, 88 (01) : 395 - 402
  • [5] A generalized method and general form solutions to the Whitham-Broer-Kaup equation
    Chen, Y
    Wang, Q
    Li, BA
    CHAOS SOLITONS & FRACTALS, 2004, 22 (03) : 675 - 682
  • [6] Evolutions of Wave Patterns in Whitham-Broer-Kaup Equation
    Zhang Zheng-Di
    Bi Qin-Sheng
    CHINESE PHYSICS LETTERS, 2009, 26 (01)
  • [7] Exact solutions to the space-time fraction Whitham-Broer-Kaup equation
    Cao, Damin
    Li, Cheng
    He, Fajiang
    MODERN PHYSICS LETTERS B, 2020, 34 (16):
  • [8] New solitary solutions of the Gardner equation and Whitham-Broer-Kaup equations by the modified simplest equation method
    Kuo, Chun-Ku
    OPTIK, 2017, 147 : 128 - 135
  • [9] A computational approach to the new type solutions of Whitham-Broer-Kaup equation in shallow water
    Xie, FD
    Gao, XS
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (02) : 179 - 182
  • [10] A Computational Approach to the New Type Solutions of Whitham-Broer-Kaup Equation in Shallow Water
    XIE Fu-Ding~(1
    CommunicationsinTheoreticalPhysics, 2004, 41 (02) : 179 - 182
12345