Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 57 scientific papers (total in 57 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 (57) English version article
References:
PDF
HTML
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
\Bibitem{YonZheHon02}
\by Yong Chen, Zhenya Yan, Hongqing Zhang
\paper Exact Solutions for a~Family of Variable-Coefficient ``Reaction--Duffing'' Equations via the B\"acklund Transformation
\jour TMF
\yr 2002
\vol 132
\issue 1
\pages 90--96
\mathnet{http://mi.mathnet.ru/tmf348}
\crossref{https://doi.org/10.4213/tmf348}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1956679}
\zmath{https://zbmath.org/?q=an:1129.35432}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 1
\pages 970--975
\crossref{https://doi.org/10.1023/A:1019663425564}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000177713500005}
Linking options:
  • https://www.mathnet.ru/eng/tmf348
  • https://doi.org/10.4213/tmf348
  • https://www.mathnet.ru/eng/tmf/v132/i1/p90
    • This publication is cited in the following 57 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:905
    Full-text PDF :372
    References:143
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026