Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 12, Pages 1954–1964
DOI: https://doi.org/10.7868/S0044466914120126 (Mi zvmmf10125) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Interactions of breathers and kink pairs of the double sine-Gordon equation

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (752 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466914120126
Abstract: The double sine-Gordon equation is considered in the case of a small parameter multiplying the half-angle sine. It is shown that initial distributions consisting of combinations of kink solutions to the sine-Gordon equation decompose into breathers, single kinks, and kink-kink (kink-anti-kink) long-lived pairs. The interactions of kink pairs with each other and with breathers in bifurcation modes characterized by considerable variations in the kink velocities, frequencies, and oscillation amplitudes are studied. The numerical simulation is based on the quasi-spectral Fourier method and the fourth-order Runge–Kutta method.
Key words: sine-Gordon equation, double sine-Gordon equation, kink, antikink, breather, kink-anti-kink interaction, numerical simulation, quasi-spectral Fourier method, Runge–Kutta method.
Received: 21.11.2013
Revised: 11.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 12, Pages 1876–1885
DOI: https://doi.org/10.1134/S0965542514120112
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Interactions of breathers and kink pairs of the double sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014), 1954–1964; Comput. Math. Math. Phys., 54:12 (2014), 1876–1885
Citation in format AMSBIB
\Bibitem{Pop14}
\by S.~P.~Popov
\paper Interactions of breathers and kink pairs of the double sine-Gordon equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2014
\vol 54
\issue 12
\pages 1954--1964
\mathnet{http://mi.mathnet.ru/zvmmf10125}
\crossref{https://doi.org/10.7868/S0044466914120126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3291550}
\elib{https://elibrary.ru/item.asp?id=22453418}
\transl
\jour Comput. Math. Math. Phys.
\yr 2014
\vol 54
\issue 12
\pages 1876--1885
\crossref{https://doi.org/10.1134/S0965542514120112}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000346411700008}
\elib{https://elibrary.ru/item.asp?id=24022212}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919765234}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10125
  • https://www.mathnet.ru/eng/zvmmf/v54/i12/p1954
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:322
    Full-text PDF :173
    References:54
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024