Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

Year 2021, Volume: 9 Issue: 2, 64 - 73, 01.06.2021

Meryem Odabaşı

https://doi.org/10.36753/mathenot.626461

Cited By: 3

Abstract

This study investigates exact analytical solutions of some nonlinear partial differential equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov equation, the ZK-BBM equation and the Gardner equation have been considered. With the implementation of the trial solution algorithm, solitary wave, bright, dark and periodic exact traveling wave solutions of the considered equations have been attained. The solutions have been checked and graphs have been given via package programs to see the behavior of the waves.

Keywords

Nonlinear evolution equations, Travelling wave solutions, Analytical methods

Supporting Institution

Ege University, Scientific Research Projects Coordination

Project Number

2017-TKMYO-002

Thanks

This research is supported by Ege University, Scientific Research Project (BAP), Project Number: 2017-TKMYO-002.

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