摘要
该文研究一个非线性波动方程,提出求解波动方程孤立波存在性的有效方法.此方程是Kdv方程和MKdv方程的一个推广形式,利用一类平面自治系统同宿轨与孤立波之间的关系,通过分析的方法及动力系统分叉理论,研究了自治系统在各种参数条件下同宿轨的情况,进而研究了一个非线性波动方程孤立波的存在性.
Non-linear traveling wave equation is studied, and a kind of effective methods for solitary waves solution to a non-linear traveling wave equation is presented, which is a generalized form of Kdv equation and Mkdv equation. We use the relation between homoclinic orbit and solitary waves of planar autonomy, and study homoclinic orbits of autonomous system with various parameters using the bifurcation theory of dynamical systems and an analytical method.Existence of solitary waves of the nonlinear traveling wave equation is investigated.
出处
《应用科学学报》
CAS
CSCD
北大核心
2007年第4期407-410,共4页
Journal of Applied Sciences
基金
江苏省高校自然科学研究计划项目(05KJB110018)
关键词
波动方程
孤立波
同宿轨
traveling wave equation
solitary wave
homoclinic orbit
