Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 1


Published
on

April 10, 2020


Pages

455-460


DOI

Article

New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

Check for updates


Authors

Hülya Durur Affiliation:
Department of Computer Engineering, Faculty of Engineering, Ardahan University, Ardahan, 75000, Turkey
, Ali Kurt Affiliation:
Department of Mathematics, Faculty of Science and Art, Pamukkale University, Denizli, Turkey
and Orkun Tasbozan Affiliation:
Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Hatay, Turkey


Abstract

This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are considered in conformable sense. Conformable derivative is an understandable and applicable type of fractional derivative that satisfies almost all the basic properties of Newtonian classical derivative such as Leibniz rule, chain rule and etc. Also conformable derivative has some superiority over other popular fractional derivatives such as Caputo and Riemann-Liouville. In this paper all the computations are carried out by computer software called Mathematica.


Keywords

Conformable fractional derivative, Sub-Equation method, KdV6 equation, Wave Solution, 58J10


Citation

Durur, H., Kurt, A., & Tasbozan, O. (2020). New travelling wave solutions for KdV6 equation using sub equation method. Applied Mathematics and Nonlinear Sciences, 5(1), 455–460. https://doi.org/10.2478/amns.2020.1.00043

Published by: Engineering Journals

Engineering Journals Logo