Boiti-Leon-Pempinelle方程新的行波解
New Traveling Wave Solutions for Boiti-Leon-Pempinelle Equation
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。
Abstract: 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.
文章引用：易培源. Boiti-Leon-Pempinelle方程新的行波解[J]. 应用数学进展, 2018, 7(12): 1537-1542. https://doi.org/10.12677/AAM.2018.712179

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