关于一类非线性偏微分方程的异宿轨及其行波解

On Heteroclinic Orbit and Progressive Wave Solution of a Class of Nonlinear Partial differential Equations

一大类非线性偏微分方程都存在行波解,此时这类偏微分方程能转化为相应的常微自治系统。讨论这类偏微分方程的常微定性结构,同时给出它们的显式行波解。

A big class of nonlinear partial differential equations have progressive wave solutions, which can be tramformed into ordinary differential autonomous system. This paper discusses the ordinary differential qualitative structure of the kind of partial differential equations and presents their explicit progressive wave solutions.