Generalized solitary solution and periodic solution of the combined KdV-mKdV equation with variable coefficients using the Exp-function method

摘要

In the paper, the Exp-function method is used to obtain generalized solitary solution and periodic solution of the combined KdV-mKdV equation with variable coefficients. The results show that the Exp-function method is a powerful mathematical tool for solving nonlinear differential equation with variable coefficients in mathematical physics.