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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 4, Pages 631–640
DOI: https://doi.org/10.7868/S0044466915040031 (Mi zvmmf10190) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Transformation of sine-Gordon solitons in models with variable coefficients and damping

A. M. Gumerova, E. G. Ekomasova, R. R. Murtazina, V. N. Nazarovb

a Bashkir State University, ul. Zaki Validi 32, Ufa, 450076, Bashkortostan, Russia
b Institute of Physics of Molecules and Crystals, Ufa Research Center, Russian Academy of Sciences, pr. Octyabrya 151, Ufa, 450075, Russia
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DOI: https://doi.org/10.7868/S0044466915040031
Abstract: The dynamics of sine-Gordon solitons in the presence of an external force, damping, and a spatially modulated periodic potential is studied. Numerical methods are used to show the possibility of generating localized nonlinear waves of the soliton and breather types. Their evolution is investigated, and the dependences of the amplitude and the oscillation frequency on the parameters of the system are found.
Key words: kink, breather, soliton, sine-Gordon equation, spatially modulated periodic potential.
Received: 16.06.2014
Revised: 06.10.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 4, Pages 628–637
DOI: https://doi.org/10.1134/S096554251504003X
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 82D25; Secondary 35C08, 35L71, 82D40
Language: Russian
Citation: A. M. Gumerov, E. G. Ekomasov, R. R. Murtazin, V. N. Nazarov, “Transformation of sine-Gordon solitons in models with variable coefficients and damping”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 631–640; Comput. Math. Math. Phys., 55:4 (2015), 628–637
Citation in format AMSBIB
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    • This publication is cited in the following 14 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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