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Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 89, Issue 10, Pages 1473–1476
DOI: https://doi.org/10.21883/JTF.2019.10.48160.379-18 (Mi jtf5481) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Theoretical and Mathematical Physics

May kink solution to the nonlinear Klein–Gordon equation be classified as a soliton?

D. V. Zavialova, V. I. Kontchenkova, S. V. Kryuchkovab

a Volgograd State Technical University
b Volgograd State Socio-Pedagogical University
Full-text PDF (372 kB) Citations (4)
DOI: https://doi.org/10.21883/JTF.2019.10.48160.379-18
Abstract: Existence of the soliton solution to the generalized sine–Gordon equation (also known as the Kryuchkov–Kukhar’ equation) is numerically studied. The equation can be used to describe propagation of electromagnetic waves in a graphene-based superlattice. Calculation errors related to implicit representation of the kink solution to the equation under study are estimated. Variations in the shapes of kinks that move in opposite directions are studied prior to and after collision. The results show that the kink solution is not a soliton.
Keywords: graphene superlattice, sine-Gordon equation, kink, soliton.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3.2797.2017/4.6
This work was supported by the Ministry of Education and Science of the Russian Federation (project no. 3.2797.2017/4.6).
Received: 25.10.2018
Revised: 25.10.2018
Accepted: 29.04.2019
English version:
Technical Physics, 2019, Volume 64, Issue 10, Pages 1391–1394
DOI: https://doi.org/10.1134/S1063784219100256
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Zavialov, V. I. Kontchenkov, S. V. Kryuchkov, “May kink solution to the nonlinear Klein–Gordon equation be classified as a soliton?”, Zhurnal Tekhnicheskoi Fiziki, 89:10 (2019), 1473–1476; Tech. Phys., 64:10 (2019), 1391–1394
Citation in format AMSBIB
\Bibitem{ZavKonKry19}
\by D.~V.~Zavialov, V.~I.~Kontchenkov, S.~V.~Kryuchkov
\paper May kink solution to the nonlinear Klein--Gordon equation be classified as a soliton?
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 89
\issue 10
\pages 1473--1476
\mathnet{http://mi.mathnet.ru/jtf5481}
\crossref{https://doi.org/10.21883/JTF.2019.10.48160.379-18}
\elib{https://elibrary.ru/item.asp?id=41174962}
\transl
\jour Tech. Phys.
\yr 2019
\vol 64
\issue 10
\pages 1391--1394
\crossref{https://doi.org/10.1134/S1063784219100256}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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