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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 5, Pages 792–799
DOI: https://doi.org/10.7868/S0044466913050128 (Mi zvmmf9859) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Limiting solitons and kinks in two-dimensional discrete systems

S. P. Popov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.7868/S0044466913050128
Abstract: Two-dimensional discrete equations of the first order in time are considered. Each element of the lattice is assumed to interact only with the nearest neighbors and the interaction force tends to a constant for large deviations from the equilibrium. Localized solitary waves (solitons) and kinks whose amplitudes and velocities do not exceed the limiting values are numerically found. The cases of pair interactions are examined.
Key words: discrete equations, solitary waves, limiting solitons, kinks, collisions of solitons and kinks, numerical study.
Received: 07.04.2011
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 5, Pages 625–631
DOI: https://doi.org/10.1134/S0965542513050102
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Limiting solitons and kinks in two-dimensional discrete systems”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 792–799; Comput. Math. Math. Phys., 53:5 (2013), 625–631
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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