一类非线性波动方程新的精确孤立波解

New Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

利用双曲函数方法求解一类非线性波动方程的精确行波解 ,得到了若干其它方法不曾给出的新的精确解 .这种方法的基本原理是利用非线性波方程孤立波解的局部特点 ,将方程的孤立波解表示为双曲函数的多项式 。

The hyperbolic function method has been used to study new exact travelling wave solutions for a class of nonlinear evolution equation. The basic idea of this method is based on the fact that solitary wave solution of the nonlinear evolution equations is essentially of a localized property.Because the travelling wave solution can assum the polynomial form of the hyperbolic functions, the resultant solutions are obtained by solving a systems of nonlinear algebraic equations.