广义Burgers-Fisher方程的精确孤立波解

Exact solutions for a generalized burgers-Fisher equation

利用双曲函数方法,求解了一类非线性波动方程的精确行波解,得到了若干其他方法不曾给出的新精确解。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,从而将非线性波动方程的求解问题转化为非线性代数方程组的求解问题。

The hyperbolic function method was 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 are essentially of a localized property. Because the travelling wave solution can be assumed as the polynomial form of the hyperbolic functions, the resultant solutions were obtained by solving a system of nonlinear algebraic equations.