摘要
利用辅助方程法的构造性和机械化性特点,引入一种新的辅助方程,给出该方程的几种由双曲函数、三角函数和有理函数通过不同形式复合而成的精确解.以(2+1)维修正的色散水波方程组为例,借助符号计算系统Mathematica,在行波变换下获得了该方程的新的复合型精确解.
In this paper,the peculiarity of construction and mechanization of auxiliary equation method is exerted,a new auxiliary equation is given and exact solutions which compound from tanh-function,trigonometric function and rational function by several forms of this new auxiliary equation are obtained,and the symbolic computation system Mathematica is used to obtain composite exact solutions of（2＋1）-dimensional modified dispersive water-wave system.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
北大核心
2012年第1期30-33,37,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10761005)
内蒙古自然科学基金资助项目(2010MS0111)
内蒙古高等学校科学研究项目(NJZZ07031)
内蒙古师范大学自然科学基金项目(QN005023)
关键词
辅助方程法
(2+1)维修正的色散水波方程组
复合型精确解
auxiliary equation method
（2＋1）-dimensional modified dispersive water-wave system
composite exact solutions
