|
This article is cited in 3 scientific papers (total in 3 papers)
Asymptotics of Kink–Kink Interaction for Sine-Gordon Type Equations
G. A. Omel'yanov, D. A. Kulagin
Moscow State Institute of Electronics and Mathematics
Abstract:
We consider a class of semilinear wave equations with a small parameter $\varepsilon$. The nonlinearity of $F(u)$ is assumed to be such that the corresponding equation has an exact self-similar solution of kink type. For $F(u)$, we obtain sufficient conditions for two kinks to interact (in the sense of the leading term of the asymptotics with respect to $\varepsilon$) in the same way as the kinks of the sine-Gordon equation.
DOI:
https://doi.org/10.4213/mzm55
 Full text:
PDF file (186 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 2004, 75:4, 563–567
Bibliographic databases:
   
UDC:
517.95
Received: 25.12.2002
Citation:
G. A. Omel'yanov, D. A. Kulagin, “Asymptotics of Kink–Kink Interaction for Sine-Gordon Type Equations”, Mat. Zametki, 75:4 (2004), 603–607; Math. Notes, 75:4 (2004), 563–567
Citation in format AMSBIB
\Bibitem{OmeKul04}
\by G.~A.~Omel'yanov, D.~A.~Kulagin
\paper Asymptotics of Kink--Kink Interaction for Sine-Gordon Type Equations
\jour Mat. Zametki
\yr 2004
\vol 75
\issue 4
\pages 603--607
\mathnet{http://mi.mathnet.ru/mz55}
\crossref{https://doi.org/10.4213/mzm55}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2068769}
\zmath{https://zbmath.org/?q=an:1059.35119}
\elib{https://elibrary.ru/item.asp?id=14052682}
\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 4
\pages 563--567
\crossref{https://doi.org/10.1023/B:MATN.0000023337.12918.c8}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000221289900029}
Linking options:
http://mi.mathnet.ru/eng/mz55https://doi.org/10.4213/mzm55 http://mi.mathnet.ru/eng/mz/v75/i4/p603
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
Espinoza R. F., Omel'yanov G. A., “Construction of uniform in time asymptotics for interaction of shock waves in gas dynamics”, Integral Transforms Spec. Funct., 17:2-3 (2006), 171–176
 -
Mohammadi M., Riazi N., Azizi A., “Radiative Properties of Kinks in the Sin(4)(Phi) System”, Prog. Theor. Phys., 128:4 (2012), 615–627
 -
Mohammadi M., Riazi N., “Bi-Dimensional Soliton-Like Solutions of the Nonlinear Complex sine-Gordon System”, Prog. Theor. Exp. Phys., 2014, no. 2, 023A03
|
| Number of views: |
| This page: | 297 | | Full text: | 125 | | References: | 73 | | First page: | 1 |
|
Terms of Use