【摘要】 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.更多还原

【Abstract】 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.更多还原