On the new type of solutions to Benney-Luke equation

Hami Gundogdu; Omer Faruk Gozukizil

doi:10.5269/bspm.41244

Hami Gundogdu Sakarya University https://orcid.org/0000-0002-7042-1885
Omer Faruk Gozukizil Sakarya University https://orcid.org/0000-0002-5975-6430

Abstract

In this study, the Benney-Luke equation is considered. In order to derive new type of solutions, the sn-ns method is applied to this equation. Then, we introduce trigonometric and elliptic functions solutions in addition to the hyperbolic ones which are gained by tanh-coth. Three types of solutions are derived at the same time with the help of this method. Therefore, it can be said that this method is convenient to obtain more solutions to many kinds of nonlinear partial differential equations.

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Author Biography

Omer Faruk Gozukizil, Sakarya University

Head of Mathematics Department

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