高维非线性演化方程孤立波的同伦分析法求解

Solving solitary wave solutions of higher dimensional nonlinear evolution equations with the homotopy analysis method

利用同伦分析法求解了修正的Kadomtsev-Petviashvili方程,得到了它的近似孤立波解,该解与精确解符合得非常好.结果表明,同伦分析法在求解高维非线性演化方程的孤立波解时,仍然是一种行之有效的方法.

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.