Abstract: In this paper, the Exp-function method with the aid of the symbolic computational system Mathematica is used to obtain the generalized solitonary solutions and periodic solutions for asymmetric NNV equation. The Exp-function method provides a powerful mathematical tool for solving nonlinear evolution equations.

Key words: Exp-function method, asymmetric NNV equation, new solitonary and periodic solution

摘要： 指数函数法是求解非线性发展方程的一种简单有效的方法，利用该方法并借助Mathematica软件的符号计算功能求解了非对称NNV方程，得到了新的孤波解和周期解。

关键词: 指数函数法, 非对称NNV方程, 新的孤波解和周期解