Solving solitary wave solutions of higher dimensional nonlinear evolution equations with the homotopy analysis method
高维非线性演化方程孤立波的同伦分析法求解

We obtained a class of approximate solitary wave solutions for the (2+1)-dimensional modified Kadomtsev-Petviashvili equation by using the homotopy analysis method (HAM). The solutions obtained agree very well with the exact solutions. The results indicate that the HAM is still valid for solving solitary wave solutions of a class of higher dimensional evolution equations.