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 derivatives are considered in conformable sense. Conformable derivative is an understandable and applicable type of fractional derivative that...

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Published inApplied mathematics and nonlinear sciences Vol. 5; no. 1; pp. 455 - 460
Main Authors Durur, Hülya, Kurt, Ali, Tasbozan, Orkun
Format Journal Article
LanguageEnglish
Published Beirut Sciendo 01.01.2020
De Gruyter Poland
Subjects
58J10
Conformable fractional derivative
KdV6 equation, Wave Solution
Sub-Equation method
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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.
AbstractList 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.
Author Durur, Hülya
Kurt, Ali
Tasbozan, Orkun
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  givenname: Ali
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  givenname: Orkun
  surname: Tasbozan
  fullname: Tasbozan, Orkun
  email: otasbozan@mku.edu.tr
  organization: Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Hatay, Turkey
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Snippet This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional...
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SubjectTerms 58J10
Conformable fractional derivative
KdV6 equation, Wave Solution
Sub-Equation method
Title New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method
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