中文摘要：

采用了一个泛函微分同伦映射技巧,研究了一类扰动非线性发展方程.首先引入求解一 个相应典型方程的孤立子解.然后利用同伦映射方法得到了原扰动非线性发展方程的渐近解.

英文摘要：

A class of disturbed nonlinear evolution equation is considered first introduce soliton solution of a corresponding typical differential equation. And then the asymptotic solution for the original disturbed nonlinear evolution equation is obtained using the homotopic mapping method.