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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 481–495
DOI: https://doi.org/10.7868/S0044466914030077 (Mi zvmmf10008) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Structure and properties of four-kink multisolitons of the sine-Gordon equation

A. M. Gumerov, E. G. Ekomasov, F. K. Zakir'yanov, R. V. Kudryavtsev

Bashkir State University, ul. Zaki Validi 32, Ufa, 450076, Bashkortostan, Russia
Full-text PDF (810 kB) Citations (18)
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DOI: https://doi.org/10.7868/S0044466914030077
Abstract: The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude oscillations, an analytical spectrum of the oscillations is obtained, which is in qualitatively agreement with the numerical results.
Key words: sine-Gordon equation, four-kink multisolitons, structure and properties of solitons, numerical-analytical study.
Received: 26.07.2013
Revised: 24.09.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 491–504
DOI: https://doi.org/10.1134/S0965542514030075
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. M. Gumerov, E. G. Ekomasov, F. K. Zakir'yanov, R. V. Kudryavtsev, “Structure and properties of four-kink multisolitons of the sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 481–495; Comput. Math. Math. Phys., 54:3 (2014), 491–504
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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