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The Hirota’s direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation. (English) Zbl 1153.65363
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:
 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
SYMMGRP
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##### References:
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