应用拓展的Riccati展开法求非线性发展方程的精确解  

Exact Solution of Nonlinear Evolution Equation by Riccati Expansion Method

作　　者：杨娟[1] 黄朝军[1] 冯庆江[1] 

机构地区：[1]凯里学院数学科学学院,贵州凯里556000

出　　处：《数学的实践与认识》2017年第24期274-277,共4页Mathematics in Practice and Theory

基　　金：贵州省教育厅青年科技人才成长项目(黔教合KY字[2016]304);贵州省卓越教师教育培养计划(数学与应用数学)(201525)

摘　　要：借助Mathematica符号计算软件,利用拓展的Riccati展开法和变量分离法,得到非线性发展方程的精确解.通过选择适当的函数,获得(2+1)维色散长波方程的亮暗dromion解.With the help of the symbolic computation system Mathematica and an extended Riccati-expansion method and a variable separation method,new exact solutions of nonlinear evolution equation are derived. By choosing the appropriate function, the bright and dark dromion solution and the periodic solitary wave solution of the（2＋1）-dimensional dissipative long wave equation are obtained.

关 键 词：拓展的Riccati展开法 变量分离法 精确解 

分 类 号：O175.29[理学—数学]