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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 12, Pages 2176–2183 (Mi zvmmf4981)  
This article is cited in 12 scientific papers (total in 12 papers)

Application of the quasi-spectral fourier method to soliton equations

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (202 kB) Citations (12)
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Abstract: A numerical approach combining the quasi-spectral Fourier method and the Runge–Kutta technique is proposed for the numerical study of the long wavelength regularized equation and the Camassa–Holm and Holm–Hone equations. Test results are presented for soliton and peakon solutions.
Key words: quasi-spectral Fourier method, Camassa–Holm equation, Holm-Hone equation, long wavelength regularized equation, soliton, peakon.
Received: 16.09.2009
Revised: 26.04.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 12, Pages 2064–2070
DOI: https://doi.org/10.1134/S0965542510120080
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Application of the quasi-spectral fourier method to soliton equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2176–2183; Comput. Math. Math. Phys., 50:12 (2010), 2064–2070
Citation in format AMSBIB
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\by S.~P.~Popov
\paper Application of the quasi-spectral fourier method to soliton equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 12
\pages 2176--2183
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010CMMPh..50.2064P}
\transl
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 12
\pages 2064--2070
\crossref{https://doi.org/10.1134/S0965542510120080}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650612937}
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    • This publication is cited in the following 12 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 :115
    References:41
    First page:5
     
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