借助齐次平衡方法和数学软件计算,应用修正的G＇/G展开法成功获得了Nizhnik-Novikov-Veselov（简称NNV）系统的多个含有参数的精确行波解,所得的解包含有新的孤立波解,丰富了已有结果.该方法具有简单高效、计算量小、求解速度快等特点,此方法还可以用来求解其它的高维非线性发展方程的精确行波解和孤立波解.%Based on homogeneous balance method and mathematical software calculation, some travelling wave solutions with parameters for the generalized NNV equations have been obtained by using the modified G＇/ G-expansion method, which include new solitary-wave solutions and extend the existing results. According to the solving process of the travelling wave solutions for the equations, this expansion method is direct, concise, effec- tive, simple for calculations. Furthermore, it can be used to solve exact travelling wave solutions and solitary- wave solutions of other high-dimensional non-linear development equations.
展开▼
