Nonlinear evolution equation with variable coefficient G'/G expansion solution

Abstract

In this paper, the (G'/G)-expansion method is used to solve the two kinds of nonlinear KdV equations with variable coefficients for the first time. And some new exact solutions are obtained successfully. It is proved that the (G'/G)-expansion method is not only appropriate for solving nonlinear evolution equations with constant coefficients but also excellently applicable to the nonlinear evolution equations with variable coefficients, and it also has a broad application prospect.