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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 7, Pages 1317–1325 (Mi zvmmf9482)  
This article is cited in 5 scientific papers (total in 5 papers)

Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (200 kB) Citations (5)
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Abstract: The spectral Fourier and Runge–Kutta methods are used to study the Camassa–Holm and Holm–Hone equations numerically. Numerical results for problems with initial data leading to the generation and interaction of peakons and $k$-solitons are discussed.
Key words: Camassa–Holm equation, Holm–Hone equation, $k$-soliton, peakon, $k$-cuspon.
Received: 29.12.2009
Revised: 28.10.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 7, Pages 1231–1238
DOI: https://doi.org/10.1134/S0965542511070153
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011), 1317–1325; Comput. Math. Math. Phys., 51:7 (2011), 1231–1238
Citation in format AMSBIB
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\paper Numerical study of Peakons and $k$-Solitons of the Camassa--Holm and Holm--Hone equations
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    • This publication is cited in the following 5 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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    Full-text PDF :104
    References:72
    First page:9
     
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