中文摘要：

利用齐次平衡法和（G′/G）展开法,借助于Matlab数学软件,获得了非线性KdV-mKdV方程及Zhiber-Shabat方程的精确行波解.结果表明,与其他方法相比,（G′/G）展开法求解非线性方程行波解更简明、有效.

英文摘要：

With the help of Matlab software,we employed balancing method and（G′/G）-expansion method to obtain exact traveling wave solutions of KdV-mKdV equation and Zhiber-Shabat equation.Compared with other methods,this method is simple and effective.