构造变系数非线性发展方程无穷序列精确解的一种方法  

A Method for Constructing the Infinite Sequence Exact Solutions of Nonlinear Evolution Equation with Variable Coefficients

作　　者：包志兰[1] 套格图桑[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古民族大学学报（自然科学版）》2011年第6期621-623,632,共4页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：内蒙古自治区高等学院科学研究基金资助项目(NJ07031);内蒙古自治区自然科学基金资助项目(2010MS0111)

摘　　要：为了获得变系数非线性发展方程的无穷序列精确解,扩展应用Riccati方程法,在符号计算系统Mathematica的帮助下,构造了一种变系数非线性发展方程的无穷序列新精确解.这里包括以双曲函数、三角函数和有理函数构成的类孤子精确解.In order to obtain an infinite sequence new exact solutions to nonlinear evolution equation with variable coefficient,extended and applied method of Riccati equation,it constructed an infinite sequence new exact solutions of the nonlinear evolution equation with variable coefficient,with the help of symbolic computation system Mathematica.These solutions include soliton-like exact solutions constructed by hyperbolic functions,trigonomical functions and rational functions.

关 键 词：RICCATI方程法 变系数非线性发展方程 无穷序列新精确解 

分 类 号：O175.29[理学—数学]