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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 1, Pages 90–96
DOI: https://doi.org/10.4213/tmf348 (Mi tmf348) 		 
This article is cited in 56 scientific papers (total in 56 papers)

Exact Solutions for a Family of Variable-Coefficient “Reaction–Duffing” Equations via the Bäcklund Transformation

Yong Chen, Zhenya Yan, Hongqing Zhang

Dalian University of Technology
Full-text PDF (180 kB) Citations (56)
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DOI: https://doi.org/10.4213/tmf348
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–Nagumo and Chaffee–Infante equations are also considered as special cases.
Keywords: “reaction–duffing” equation, Bäcklund transformation, symmetry, exact solution, soliton solution.
Received: 16.11.2001
Revised: 21.01.2002
English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 1, Pages 970–975
DOI: https://doi.org/10.1023/A:1019663425564
Bibliographic databases:
Language: Russian
Citation: Yong Chen, Zhenya Yan, Hongqing Zhang, “Exact Solutions for a Family of Variable-Coefficient “Reaction–Duffing” Equations via the Bäcklund Transformation”, TMF, 132:1 (2002), 90–96; Theoret. and Math. Phys., 132:1 (2002), 970–975
Citation in format AMSBIB
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\by Yong Chen, Zhenya Yan, Hongqing Zhang
\paper Exact Solutions for a~Family of Variable-Coefficient ``Reaction--Duffing'' Equations via the B\"acklund Transformation
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 1
\pages 970--975
\crossref{https://doi.org/10.1023/A:1019663425564}
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    • This publication is cited in the following 56 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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