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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 8, Pages 1497–1502 (Mi zvmmf4741)  
This article is cited in 5 scientific papers (total in 5 papers)

Exact soliton solutions for the general fifth Korteweg–de Vries equation

W. Long

Institute of Mathematics, Hangzhou Dianzi University, Xiasha, Hangzhou, Zhejiang 310018, China
Full-text PDF (719 kB) Citations (5)
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Abstract: With the aid of computer symbolic computation system such as Maple, the extended hyperbolic function method and the Hirota's bilinear formalism combined with the simplified Hereman form are applied to determine the soliton solutions for the general fifth-order KdV equation. Several new soliton solutions can be obtained if we taking parameters properly in these solutions. The employed methods are straightforward and concise, and they can also be applied to other nonlinear evolution equations in mathematical physics.
Key words: the extended hyperbolic functions method; Hirota's direct method; Hereman's method; fifth-order KdV equation; soliton solutions.
Received: 28.11.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 8, Pages 1429–1434
DOI: https://doi.org/10.1134/S0965542509080120
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: English
Citation: W. Long, “Exact soliton solutions for the general fifth Korteweg–de Vries equation”, Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009), 1497–1502; Comput. Math. Math. Phys., 49:8 (2009), 1429–1434
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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