中文摘要：

应用首次积分法,提出一种求解非线性波动方程的分析方法,并在理论上得到一类Duffing方程精确形式的行波解.结果表明,首次积分法对于求Duffing方程的精确解是一种可行方法.

英文摘要：

We proposed an analytic method for solving a class of nonlinear wave equations based on the first integral method,and obtained the exact traveling wave solution for one category of Duffing equations theoretically.Results show that the first integral method for the exact solution of Duffing equations is a feasible method.