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试探函数法与广义变系数五阶KdV方程的类孤子解
引用本文:李宁,套格图桑.试探函数法与广义变系数五阶KdV方程的类孤子解[J].内蒙古民族大学学报(自然科学版),2014(4):376-379.
作者姓名:李宁  套格图桑
作者单位:内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022
基金项目: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
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.

关 键 词:试探函数法  广义五阶变系数KdV方程  类孤子解

The Soliton-like Solutions of Generalized Variable Coefficient Fifth-older KdV Equation with the Trial Function Method
LI Ning,Taogetusang.The Soliton-like Solutions of Generalized Variable Coefficient Fifth-older KdV Equation with the Trial Function Method[J].Journal of Inner Mongolia University for the Nationalities(Natural Sciences),2014(4):376-379.
Authors:LI Ning  Taogetusang
Institution:LI Ning ,Taogetusang (Institute of Mathematical Sciences, Inner Mongolia Normal University, Hohhot 010022,China )
Abstract: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.
Keywords:The trial function method  Generalized variable coefficient fifth-older KdV equation  Soliton-like solu-tions
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