采用了一系列技巧,研究了一类广义非线性扰动Nizhnik-Novikov-Veselov系统. 首先利用双曲函数待定系数的方法,得到了相应的无扰动系统的孤波精确解, 再利用广义变分迭代的方法. 求得了原非线性扰动Nizhnik-Novikov-Veselov系统的任意次精度的孤波渐近解析解. 最后通过举例,说明了本方法求孤波渐近解简单而有效.

A class of generalized nonlinear disturbed Nizhnik-Novikov-Veselov system is considered taking a set of technique. Firstly, the solitary wave exact solution is found for a corresponding typical non-distrurbed differential system. And then, the any times degree of accuracy for the asymptotic solutions to the original nonlinear disturbed Nizhnik-Novikov-Veselov system is obtained using the variational iteration method. Finely, from the example, there is a simple and valid, using this method to solved the asymptotic solutions for solitary wave.