Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order

被引：9
作者：
Li, B [1 ]
Chen, Y
Zhang, HQ
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 2004年 / 54卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Backlund transformation; homogenous balance method; generalized Fithugh-Nagumo equation; generalized Burgers-Fisher equation; generalized Burgers-Huxley equation; solitons; symbolic computation;
D O I：
10.1023/B:CJOP.0000014399.22665.ef
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, by introducing some proper transformations, the applied range of the homogenous balance (HB) method is extended. With the help of Mathematica, we obtain three auto-Backlund transformations (BT) for the generalized Fithugh-Nagumo equation, the generalized Burgers-Fisher equation, the generalized Burgers-Huxley equation, respectively, by use of the extended HB method. From these BTs, some exact solutions for these equations are derived.
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页码：167 / 176
页数：10
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