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Zbl 1153.65363
Wazwaz, Abdul-Majid
The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation. (English)
[J] Appl. Math. Comput. 199, No. 1, 133-138 (2008). ISSN 0096-3003

Summary: The Sawada-Kotera-Ito seventh-order equation is studied. The tanh-coth method is applied to obtain soliton solution of this equation. The Hirota's direct method combined with the simplified Hereman's method are applied to determine the $N$-soliton solutions for this equation. The study highlights the significant features of the employed methods and its capability of handling completely integrable equations.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)

Keywords: Hirota's direct method; Hereman's method; tanh-coth method; Sawada-Kotera-Ito seventh-order equation; multiple-soliton solutions

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Zentralblatt MATH Berlin [Germany]