Boiti-Leon-Pempinelle方程新的行波解  

New Traveling Wave Solutions for Boiti-Leon-Pempinelle Equation

作　　者：易培源 

机构地区：[1]华南理工大学,广东广州

出　　处：《应用数学进展》2018年第12期1537-1542,共6页Advances in Applied Mathematics

摘　　要：本文基于动力系统的分支理论对Boiti-Leon-Pempinelle方程的平滑和非平滑的行波解进行研究。首先,我们构建了关于变量u(x,t)的哈密顿函数。其次,我们证明了Boiti-Leon-Pempinelle方程存在着新的行波解。本文的研究扩展了之前相关的研究工作。This paper is concerned with smooth and non-smooth traveling wave solutions of the Boiti-Leon- Pempinelle equation based on the bifurcation method of dynamical systems. First, we establish a new Hamiltonian function on the variable u(x, t). Second, we prove that the corresponding traveling wave system of the Boiti-Leon-Pempinelle equation exists new traveling wave solutions. Our work extends some previous results.

关 键 词：Boiti-Leon-Pempinelle方程 哈密顿函数 分支理论 异宿轨 

分 类 号：O1[理学—数学]