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

Yong Chen; Zhenya Yan; Hongqing Zhang

doi:10.1023/A:1019663425564

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

Yong Chen^*
, Zhenya Yan
, Hongqing Zhang

^*Corresponding author for this work

Dalian University of Technology

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

Abstract

The homogeneous balance method is extended and applied to a class of variable-coefficient "reaction-duffing" equations, and a Bäcklund 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-Nagtuno and Chaffee-Infante equations are also considered as special cases.

Original language	English
Pages (from-to)	970-975
Number of pages	6
Journal	Theoretical and Mathematical Physics (Russian Federation)
Volume	132
Issue number	1
DOIs	https://doi.org/10.1023/A:1019663425564
State	Published - 2002
Externally published	Yes

Keywords

"reaction-duffing" equation
Bäcklund transformation
Exact solution
Soliton solution
Symmetry

Access to Document

10.1023/A:1019663425564

Cite this

@article{9c8f2beeb9034676920ccdf615f7f571,

title = "Exact solutions for a family of variable-coefficient {"} reaction-duffing{"} equations via the B{\"a}cklund transformation",

abstract = "The homogeneous balance method is extended and applied to a class of variable-coefficient {"}reaction-duffing{"} equations, and a B{\"a}cklund 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-Nagtuno and Chaffee-Infante equations are also considered as special cases.",

keywords = "{"}reaction-duffing{"} equation, B{\"a}cklund transformation, Exact solution, Soliton solution, Symmetry",

author = "Yong Chen and Zhenya Yan and Hongqing Zhang",

year = "2002",

doi = "10.1023/A:1019663425564",

language = "英语",

volume = "132",

pages = "970--975",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Pleiades Publishing",

number = "1",

}

TY - JOUR

T1 - Exact solutions for a family of variable-coefficient " reaction-duffing" equations via the Bäcklund transformation

AU - Chen, Yong

AU - Yan, Zhenya

AU - Zhang, Hongqing

PY - 2002

Y1 - 2002

N2 - The homogeneous balance method is extended and applied to a class of variable-coefficient "reaction-duffing" equations, and a Bäcklund 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-Nagtuno and Chaffee-Infante equations are also considered as special cases.

AB - The homogeneous balance method is extended and applied to a class of variable-coefficient "reaction-duffing" equations, and a Bäcklund 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-Nagtuno and Chaffee-Infante equations are also considered as special cases.

KW - "reaction-duffing" equation

KW - Bäcklund transformation

KW - Exact solution

KW - Soliton solution

KW - Symmetry

UR - https://www.scopus.com/pages/publications/0036343981

U2 - 10.1023/A:1019663425564

DO - 10.1023/A:1019663425564

M3 - 文章

AN - SCOPUS:0036343981

SN - 0040-5779

VL - 132

SP - 970

EP - 975

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this