On the new type of solutions to Benney-Luke equation-Reference-Cited by-同舟云学术

On the new type of solutions to Benney-Luke equation

Published:2021-01-01 Issue:5 Volume:39 Page:103-111
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Gundogdu Hami¹^ORCID,Gozukizil Omer Faruk¹^ORCID

Affiliation:

1. Sakarya University

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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