利用F-展开法结合指数函数法求广义RLW-KdV-BBM方程的精确解_数学专业.doc

摘要

本文利用F-展开法结合指数函数法,研究了具有物理意义的广义RLW-KdV-BBM方程.借助于Maple程序的辅助计算,获得了大量的精确解.说明这两种方法的结合,在对非线性方程的求解方面,起到了显著的效果.

关键字：广义RLW-KdV-BBM方程; Exp-函数法; F-展开法;齐次平衡;精确解

ABSTRACT

In this paper, combining the F-expansion method with Exp-function method,studi- es generalized RLW-KdV-BBM, equation which has physical siynificance, By genera-

lized RLW-KdV-BBM, equation which has physical siynificance, By the au xiliary co-

mputation of Maple's, programe which obtains many exact solutions,This shows that two method have an effect on obtaing solutions of nonlinear equations which remarkably good.

Keywords: Generalized RLW-KdV-BBM equation;Exp-function method; F-expansion method;The homogeneous balance; exact solution

目录

摘要

ABSTRACT

第一章 引言

第二章 方法简述

2.1 F-展开法

2.2 EXP-函数法

2.3 F-展开法结合EXP-函数法

第三章 指数函数方法求广义黎卡提方程

第四章 广义RLW-KdV-BBM方程的精确解

第五章 结论

参考文献

致谢