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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 12, Pages 2055–2066
DOI: https://doi.org/10.7868/S0044466915120157 (Mi zvmmf10315) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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DOI: https://doi.org/10.7868/S0044466915120157
Abstract: Multisoliton solutions of the modified Korteweg de Vries–sine-Gordon equation involving coefficients with local perturbations in the coordinate are considered. Cases describing the bifurcation regimes of reflection and capture of solitons (kinks and breathers) in their interaction with dislocations of various Gaussian forms are numerically studied.
Key words: mKdV equation, SG equation, mKdV–SG equation, nonautonomous mKdV–SG equation, kink, antikink, breather, soliton, multisoliton interaction.
Received: 10.02.2015
Revised: 05.05.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 12, Pages 2014–2024
DOI: https://doi.org/10.1134/S0965542515120143
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2055–2066; Comput. Math. Math. Phys., 55:12 (2015), 2014–2024
Citation in format AMSBIB
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    • This publication is cited in the following 8 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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