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Zbl 1203.65196
Gómez, Cesar A.; Salas, Alvaro H.
The variational iteration method combined with improved generalized tanh-coth method applied to Sawada-Kotera equation. (English)
[J] Appl. Math. Comput. 217, No. 4, 1408-1414 (2010). ISSN 0096-3003

Summary: We obtain new exact solutions to a generalized Sawada-Kotera equation. Using the variational iteration method combined with the improved generalized tanh-coth method, we construct new traveling wave solutions for the standard Sawada-Kotera equation and, by means of scaling, we obtain new solutions to general Sawada-Kotera equation. Periodic and soliton solutions are formally derived for both models.

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

Keywords: improved tanh-coth method; fifth-order KdV equation; Sawada-Kotera equation; variational iteration method; traveling wave solutions; periodic and soliton solutions

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Zentralblatt MATH Berlin [Germany]