采用一个简单而有效的技巧,研究了一类扰动非线性发展方程.首先,引入一个相应典型方程的孤子近似解.然后,利用同伦映射方法得到了原扰动非线性发展方程的近似解.
The approximate solution for a class of disturbed nonlinear evolution equation is considered taking a simple and valid technique. We first introduce approximate solution of a corresponding typical differential equation. And then the approximate solution for a original disturbed nonlinear evolution equation is obtained using the homotopic mapping method.