一类非线性发展方程孤立子行波解*

摘要

A class of nonlinear evolution equation is considered by taking a simple and valid technique. Using the method of undetermined functions, firstly we introduce the solitary traveling wave solutions to the corresponding non-disturbed equation. And then the solitary wave solutions to the nonlinear disturbed dispersive equation are obtained using the generalized variational iteration method.%采用了一个简单而有效的技巧，研究了一类非线性发展方程。首先利用待定函数法求出相应无扰动情形时方程的孤立子行波解。然后利广义变分迭代方法得到了原扰动情形时非线性扰动色散方程的孤立子解。