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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 11, Pages 1960–1969
DOI: https://doi.org/10.7868/S0044466916110120 (Mi zvmmf10483) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation

S. P. Popov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466916110120
Abstract: Multisoliton solutions of the modified Korteweg–de Vries-sine-Gordon (mKdV-SG) equation with time-dependent coefficients are considered. Cases describing changes in the shape of soliton solutions (kinks and breathers) observed in gradual transitions between the mKdV, SG, and mKdV-SG equations are numerically studied.
Key words: mKdV equation, SG equation, mKdV-SG equation, nonautonomous mKdV-SG equation, kink, antikink, breather, soliton, multisoliton interaction.
Received: 18.11.2015
Revised: 28.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 11, Pages 1929–1937
DOI: https://doi.org/10.1134/S0965542516110105
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:11 (2016), 1960–1969; Comput. Math. Math. Phys., 56:11 (2016), 1929–1937
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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