中文摘要：

同伦分析方法是解决非线性初值问题近似解的一种非常有效的方法。文章利用同伦分析方法求一类非线性KdV-Burgers方程的近似解,并将所得结果与已有方法所得结果进行比较。研究表明,同伦分析方法不仅计算简单而且结果精确,故同伦分析方法是解非线性KdV-Burgers方程近似解的一种行之有效的方法。

英文摘要：

The homotopy analysis method（HAM） is effective for solving the approximate solution of nonlinear initial value problem. In this paper, the HAM is applied to obtaining the approximate solution of nonlinear KdV-Burgers equation, and the result is compared with that solved by the existing method. It shows that the HAM is an effective method to obtain the approximate solution of nonlinear KdV-Buegers equation with convenience and correctness.