利用Lie群方法求Burgers-Huxley方程行波类首次积分

To Solve the First Integral of the Burgers-Huxley Travelling Wave Solution Equations by the Method of Lie Groups

本文运用Lie群理论,证明了Burgers-Huxley方程的行波解所满足的二阶非线性方程在参数满足一定关系时,在经典意义下接受一个两参数Lie群,此时可用积分法求其首次积分.

When the parameters satisfy certain relations,that the second order nonlinear autonomous system which the travelling wave solution of the Burgers-Huxley equations satisfied admits two-parameter Lie group in classical sense is proved in the paper by the theory of Lie groups. The first integral of the system is solved by the method of integration.