Burgers-Fisher方程的精确解

Exact Solutions for Burgers-Fisher Equation

利用双曲函数方法 ,研究Burgers-Fisher方程的精确解 ,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动方程的局部特点 ,将方程的精确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 u t-du xx +auu x+b(u 2-u)=0.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 the polynomial form of the hyperbolic functions,the resultant solutions are obtained by solving a systems of nonlinear algebraic equations.