<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

Department of Computer Engineering, Faculty of Engineering

Department of Mathematics, Faculty of Science and Art

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method"}

This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional...

New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

Published Online: Apr 10, 2020

Page range: 455 - 460

Received: May 14, 2019

Accepted: Jun 09, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00043

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

© 2020 Hülya Durur et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

Published Online: Apr 10, 2020

Page range: 455 - 460

Received: May 14, 2019

Accepted: Jun 09, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00043

KeywordsConformable fractional derivative, Sub-Equation method, KdV6 equation, Wave Solution

© 2020 Hülya Durur et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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