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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 8, Pages 1497–1502 (Mi zvmmf4741)

This article is cited 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

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.

UDC: 519.634

Received: 28.11.2008

Language: English


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:8, 1429–1434

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