Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation

被引：0
作者：
Wen-ling Zhang Department of Mathematics and physics
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 2005年 / 01期
关键词：
GPC equation; solitary waves; kink waves;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
We present in this paper a generalised PC (GPC) equation which includes several known models. The corresponding traveling wave system is derived and we show that the homoclinic orbits of the traveling wave system correspond to the solitary waves of GPC equation, and the heteroclnic orbits correspond to the kink waves. Under some parameter conditions, the existence of above two types of orbits is demonstrated and the explicit expressions of the two solutions are worked out.
引用
收藏
页码：125 / 134
页数：10
相关论文
共 50 条
  • [21] New exact solutions of a generalized shallow water wave equation
    Bagchi, Bijan
    Das, Supratim
    Ganguly, Asish
    PHYSICA SCRIPTA, 2010, 82 (02)
  • [22] On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics
    Demirci, Ali
    Hasanoglu, Yasin
    Muslu, Gulcin M.
    Ozemir, Cihangir
    WAVE MOTION, 2022, 109
  • [23] Monotonicity of limit wave speed of traveling wave solutions for a perturbed generalized KdV equation
    Chen, Aiyong
    Zhang, Chi
    Huang, Wentao
    APPLIED MATHEMATICS LETTERS, 2021, 121
  • [24] Solitary wave solution for the generalized Kawahara equation
    Biswas, Anjan
    APPLIED MATHEMATICS LETTERS, 2009, 22 (02) : 208 - 210
  • [25] Local well-posedness and orbital stability of solitary wave solutions for the generalized Camassa-Hohn equation
    Hakkaev, S
    Kirchev, K
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (4-6) : 761 - 781
  • [26] Exact solitary and periodic wave solutions for the coupled Schrodinger-Boussinesq equation
    Deng, Xijun
    OPTIK, 2017, 136 : 312 - 318
  • [27] 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
  • [28] Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
    Parkes, E. John
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2008, 4
  • [29] 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)
  • [30] LIMIT SPEED OF TRAVELING WAVE SOLUTIONS FOR THE PERTURBED GENERALIZED KDV EQUATION
    Chen, Aiyong
    Zhang, Chi
    Huang, Wentao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (3-4): : 379 - 402
12345