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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 4, Pages 624–633
DOI: https://doi.org/10.7868/S004446691304011X (Mi zvmmf9873) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation

S. P. Popov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (263 kB) Citations (2)
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DOI: https://doi.org/10.7868/S004446691304011X
Abstract: Soliton solutions of the Benjamin–Bona–Mahony equation with quadratic and cubic nonlinear terms are numerically simulated. Solitons with limiting amplitudes are found, and their interactions with solitons of other types are examined. Estimates for inelastic effects are presented.
Key words: Korteweg-de Vries equation, Gardner’s equation, Benjamin–Bona–Mahony equation (BBM) equation, RLW equation, EW equation, limiting solitons, kinks.
Received: 10.04.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 4, Pages 477–485
DOI: https://doi.org/10.1134/S0965542513040088
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013), 624–633; Comput. Math. Math. Phys., 53:4 (2013), 477–485
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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    References:57
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