中文摘要：

基于最小二乘法的思想基础,提出了一种用古德曼函数构造非线性演化方程孤立波解的半解析方法.以Burgers方程和KdV方程为例,发现该方法给出的孤波解与相应的精确解吻合得很好.该方法也可以推广到求解其他非线性演化方程的孤立波解.

英文摘要：

Based on the thought of the least square method,a semi-analytical method,in which the Gudermann function is applied,is presented for obtaining the solitary wave solutions of a class of nonlinear evolution equations.As an example,this method is applied to find the solitary wave solutions of the Burgers equation and the KdV equation.The solitary wave solutions are agreement well with the exact ones.The method presented in this paper can also be generalized to find the solitary wave solutions of a class of nonlinear evolution equations.