一类KdV型方程的新解析解  

New Analytical Solutions of a Class of KdV-Type Equation

作　　者：孙旖菲 庞宇 

机构地区：[1]北方工业大学理学院,北京

出　　处：《应用数学进展》2016年第4期598-604,共7页Advances in Applied Mathematics

基　　金：北方工业大学大学生科技活动项目;北方工业大学青年拔尖人才项目(XN071009);优秀青年教师计划(XN132)支持。

摘　　要：我们首先利用行波约化法将一类KdV型方程约化为常微分方程,然后运用指数函数法,并借助于数学软件Mathematica,获得了该方程丰富的精确解析解,并绘制解的图像。We first use traveling wave reduction method to transform a class of KdV-type equation to ordinary differential equation, and then apply Exp-Function method as well as symbolic software Mathematica to obtain new accurate analytical solutions of the equation under study. Moreover, we draw the graphs of such solutions.

关 键 词：行波约化法 指数函数方法 KDV型方程 

分 类 号：O1[理学—数学]