广义扰动Nizhnik-Novikov-Veselov系统的孤波解  

The Solutions to Solitary Wave for Generalized Disturbed Nizhnik-Novikov-Veselov System

作　　者：欧阳成[1] 陈贤峰[2] 莫嘉琪[3] 

机构地区：[1]湖州师范学院理学院,湖州313000 [2]上海交通大学数学系,上海200240 [3]安徽师范大学数学系,芜湖241003

出　　处：《系统科学与数学》2017年第3期908-917,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(41275062;11371248);浙江省自然科学基金项目(LY13A010005)资助课题

摘　　要：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 sys- tem 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.

关 键 词：扰动 Nizhnik-Novikov-Veselov系统 变分迭代 

分 类 号：O175[理学—数学]