一类非线性波动方程的显式精确解

Explicit and Exact Solutions to a Class of Nonlinear Wave Equations

用直接方法结合假设方法求出了一类四阶非线性波动方程的一些显式精确解．这些解包括扭状孤立波解（波前解），奇异行波解及三角函数波解等．

In this paper,some explicit and exact travelling wave solutions to a class of nonlinear wave equations are obtained by a combination of the direct method and the ansatze method .These solutions include travelling front solutions,singular travelling wave solutions and triangle function wave solutions.