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Zbl 1115.65106
Wazwaz, Abdul-Majid
The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. (English)
[J] Appl. Math. Comput. 184, No. 2, 1002-1014 (2007). ISSN 0096-3003

Summary: The extended tanh method is used to derive new solitons solutions for several forms of the fifth-order nonlinear Korteweg-de Vries (KdV) equation. The forms include the Lax, Sawada-Kotera, Sawada-Kotera-Parker-Dye, Kaup-Kupershmidt, Kaup-Kupershmidt-Parker-Dye, and the Ito equations. The criteria established by the author [ibid. 182, No. 1, 283--300 (2006; Zbl 1107.65092)] to build up reliable relations between the parameters of the equation are confirmed by using this new approach. Entirely new bell shaped solitons are determined.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35Q51 Solitons
35Q53 KdV-like equations

Keywords: Ito equation; the extended tanh method; solitons; Kaup-Kupershmidt equation; Lax equation; Sawada-Kotera equation; Sawada-Kotera-Parker-Dye equation; Kaup-Kupershmidt-Parker-Dye equation; fifth-order nonlinear Korteweg-de Vries (KdV) equation

Citations: Zbl 1107.65092

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