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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 12, Pages 2151–2162 (Mi zvmmf70)  
This article is cited in 9 scientific papers (total in 9 papers)

The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves

M. V. Demina, N. A. Kudryashov, D. I. Sinel'shchikov

Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia
Full-text PDF (1089 kB) Citations (9)
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Abstract: A method is proposed for constructing exact solutions to certain nonlinear differential equations of mathematical physics. Possible applications of this method are illustrated using equations arising in the description of water waves. Exact solutions to the generalized Gardner, Kawahara, and Benjamin–Bona–Mahony equations are constructed.
Key words: nonlinear differential equations of mathematical physics, wave equations, polygonal method for constructing exact solutions.
Received: 21.11.2007
Revised: 27.03.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 12, Pages 2182–2193
DOI: https://doi.org/10.1134/S0965542508120087
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. V. Demina, N. A. Kudryashov, D. I. Sinel'shchikov, “The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2151–2162; Comput. Math. Math. Phys., 48:12 (2008), 2182–2193
Citation in format AMSBIB
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    • This publication is cited in the following 9 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:490
    Full-text PDF :205
    References:73
    First page:15
     
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