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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 9, Pages 1560–1569
DOI: https://doi.org/10.7868/S0044466917090101 (Mi zvmmf10618) 		 
This article is cited in 2 scientific papers (total in 2 papers)

New compacton solutions of an extended Rosenau–Pikovsky 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/S0044466917090101
Abstract: The $\mathrm{K}(\cos^m, \cos^n)$ equation is proposed, which extends the Rosenau–Pikovsky $\mathrm{K}(\cos)$ equation to the case of power-law dependence of nonlinearity and dispersion. The properties of compacton and kovaton solutions are numerically studied and compared with solutions of the $\mathrm{K}(2,2)$ and $\mathrm{K}(\cos)$ equations. New types of peak-shaped compactons and kovatons of various amplitudes are found.
Key words: evolution equations of mathematical physics, KdV equation, $\mathrm{K}(m,n)$ equation, Rosenau–Hyman equation, $\mathrm{K}(\cos)$ equation, Rosenau–Pikovsky equation, compacton, kovaton, soliton, kink, multisoliton interaction.
Received: 17.04.2016
Revised: 22.11.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 9, Pages 1540–1549
DOI: https://doi.org/10.1134/S096554251709010X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “New compacton solutions of an extended Rosenau–Pikovsky equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1560–1569; Comput. Math. Math. Phys., 57:9 (2017), 1540–1549
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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