研究时滞KdV类方程ut(t,x)+u(t,x)ux(t,x)+uxxx(t,x)=g(x,u,u(t-τ,x))的群不变解。主要方法是根据时滞微分方程等价Lie群的定义,可构造时滞KdV类方程相应的决定方程和容许Lie群,从而得到时滞KdV类方程的群不变解。
The group invariant solutions of the KdV type equation with discrete delay ut(t,x)+u(t,x)ux(t,x)+uxxx(t,x)=g(x,u,u(t-τ,x)) are studied.According to the definition of an equivalence Lie group for delay differential equations,we construct the determining equations and admitted Lie groups of delay KdV type equation.Then the group invariant solutions of the delay KdV type equation are obtained.