A new general algebraic method with symbolic computation and its application to two nonlinear differential equations

被引：0
|
作者：
Li Desheng [1 ]
Huang Ying [1 ]
机构：
[1] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang, Peoples R China
来源：
PROCEEDINGS OF 2009 INTERNATIONAL WORKSHOP ON INFORMATION SECURITY AND APPLICATION | 2009年
关键词：
symbolic computation; nonlinear wave equation; exact solutions; MATHEMATICAL PHYSICS; EVOLUTION-EQUATIONS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, with the aid of the symbolic computation, based on the relation between the solutions to the elliptic equation and the projective Riccati equations, we propose a new method for solving nonlinear wave equations. This method, which combines the characteristics of the above-mentioned two equations and overcomes some limitations of existing methods, is used to solve Burgers equation and Chaffee-Infante equation (belongs to Type II equation), so that we could obtain not only the solving results of existing methods, but also many new types of exact solutions.
引用
收藏
页码：512 / 515
页数：4
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