摘要
运用动力系统分支方法研究Boussinesq方程组的显式行波解,建立了一个与该方程相对应的平面系统,并画出该平面系统的分支相图,最后通过相图中一些特殊的同宿轨道获得显式行波解.
In this paper,variant Boussinesq equations are studied by using bifurcation method of dynamical system.Firstly,a planar system corresponding to the variant Boussinesq equations is established.Secondly,the phase portraits of the planar system are given.Finally,via some special homoclinic orbits,the explicit traveling wave solutions are obtained.
出处
《玉溪师范学院学报》
2009年第4期16-20,共5页
Journal of Yuxi Normal University
关键词
显式行波解
分支相图
同宿轨
BOUSSINESQ方程组
Explicit traveling wave solutions
Bifurcation phase portraits
Homoclinic orbits
Bussinesq equations