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Computational & Applied Mathematics

On-line version ISSN 1807-0302

Abstract

ZEDAN, Hassan A.. New approach for tanh and extended-tanh methods with applications on Hirota-Satsuma equations. Comput. Appl. Math. [online]. 2009, vol.28, n.1, pp. 1-14. ISSN 1807-0302.

In this work, we establish new exact solutions for the Hirota-Satsuma equations. New approach for the tanh is used and extended tanh methods to construct traveling wave solutions in terms of a hyperbolic tangent functions. New families of solitary wave solutions and periodic solutions are also obtained for Hirota-Satsuma equations. Our approach is reduce the size of the computational adopted in other techniques without any conditions to apply on any system of partial differential equations.

Keywords : Tanh method; extended tanh method; Hirota-Satsuma equations; traveling wave solutions; solitary wave solutions.

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