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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1698–1709 (Mi zvmmf117)  
This article is cited in 4 scientific papers (total in 4 papers)

Soliton solutions to generalized discrete Korteweg–de Vries equations

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (1606 kB) Citations (4)
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Abstract: New discrete equations of the simplest three-point form are considered that generalize the discrete Korteweg–de Vries equation. The properties of solitons, kinks, and oscillatory waves are numerically examined for three types of interactions between neighboring chain elements. An analogy with solutions to limiting continual equations is drawn.
Key words: discrete Korteweg–de Vries equation, integrable dynamical system, solitons, kinks, oscillatory waves.
Received: 16.04.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1658–1668
DOI: https://doi.org/10.1134/S0965542508090145
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Soliton solutions to generalized discrete Korteweg–de Vries equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1698–1709; Comput. Math. Math. Phys., 48:9 (2008), 1658–1668
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:374
    Full-text PDF :289
    References:40
    First page:9
     
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