Explicit exact solutions to nonlinear coupled differential equations

被引：32
|
作者：
Li, ZB [1 ]
Yao, RX
机构：
[1] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China
[2] Weinan Teachers Coll, Dept Comp Sci, Weinan 714000, Peoples R China
来源：
ACTA PHYSICA SINICA | 2001年 / 50卷 / 11期
关键词：
coupled nonlinear differential equations; Riccati equations; symbolic computation; solitary wave;
D O I：
10.7498/aps.50.2062
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati. equations is proposed. Two coupled nonlinear differentiall equations are studied using this method, and several new solutions ( either functional or parametrical) are explicitly obtained, in addition to rederiving all known solutions in a systematic way.
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页码：2062 / 2067
页数：6
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