摘要
应用动力系统分支理论和定性分析方法研究了广义浅水波方程的行波系统的动力学性质,得到了该行波系统钟状孤波解的存在性,并应用同伦分析法,获得了广义浅水波方程钟状孤波解的近似解析解.
Dynamical behaviors of traveling wave solution for generalized shallow water wave equation are given by using the bifurcation theory of dynamical systems and qualitative analysis method.Approximate traveling wave solutions for generalized shallow water wave equation are obtained by using homotopy analysis method.
作者
高正晖
GAO Zheng-hui(College of Mathematics and Statistics,Hengyang Normal University,Hengyang Hunan 421002,China)
出处
《衡阳师范学院学报》
2019年第3期1-5,共5页
Journal of Hengyang Normal University
关键词
广义浅水波方程
行波解
分支理论
同伦分析法
generalized shallow water wave equation
traveling wave solution
bifurcation theory
homotopy analysis method
