Exact solutions for a family of variable-coefficient "reaction-duffing" equations via the Backlund transformation

被引：54

作者：

Chen, Y ^{[1
]}

Yan, ZY ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian, Peoples R China

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2002年 / 132卷 / 01期

基金：

中国国家自然科学基金;

关键词：

reaction-duffing equation; Backlund transformation; symmetry; exact solution; soliton solution;

D O I：

10.1023/A:1019663425564

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The homogeneous balance method is extended and applied to a class of variable-coefficient "reaction-duffing" equations, and a Backlund transformation (BT) is obtained. Based on the BT, a nonlocal symmetry and several families of exact solutions of this equation are obtained, including soliton solutions that have important physical significance. The Fitzhugh-Nagumo and Chaffee-Infante equations are also considered as special cases.

引用

页码：970 / 975

页数：6

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