Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations

摘要

Based on the homotopy perturbation method, we propose a new extended homotopy perturbation method. We apply the method to solve a kind of nonlinear evolution equations with the help of the symbolic computation system Maple. The success of the paper lies on the fact that we do not conform to the traditional homotopy mode but construct a new homotopy of the given equations. The results reveal that we can obtain the approximation solution of a kind of nonlinear evolution equations.