试探函数法与广义变系数五阶KdV方程的类孤子解  

The Soliton-like Solutions of Generalized Variable Coefficient Fifth-older KdV Equation with the Trial Function Method

作　　者：李宁[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）》2014年第4期376-379,共4页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：国家自然科学基金资助项目(11361040);内蒙古自治区高等学校科学研究基金(NJZY12031);内蒙古自治区自然科学基金资助课题(2010MS0111)

摘　　要：为了得到广义变系数五阶KdV方程的新解,本文利用试探函数法和符号计算系统Mathematica,研究了它的求解问题,并得到了广义变系数五阶KdV方程的由双曲函数与三角函数组成的类孤子新精确解.To obtain the new solutions of the generalized variable coefficient fifth-older KdV equation, with the trial function method and the symbolic computation system Mathematica, the paper researched the problem of finding the solutions of the generalized variable coefficient fifth-older KdV equation, and obtained the new soliton-like solutions consisting of hyperbolic function and trigonometric function.

关 键 词：试探函数法 广义五阶变系数KdV方程 类孤子解 

分 类 号：O175.29[理学—数学]