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Exact soliton solutions for the general fifth Korteweg-de Vries equation. (English) Zbl 1199.35337

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 8, 1497-1502 (2009); translation in Comput. Math., Math. Phys. 49, No. 8, 1429-1434 (2009).
Summary: With the aid of computer symbolic computation system such as Maple, the extended hyperbolic function method and 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 take 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.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations

Software:

Maple
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