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 in: | Applied mathematics and nonlinear sciences Vol. 5; no. 1; pp. 455 - 460 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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Beirut
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01.01.2020
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services |
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| ISSN: | 2444-8656, 2444-8656 |
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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. |
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| 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 |
| Author_xml | – sequence: 1 givenname: Hülya surname: Durur fullname: Durur, Hülya email: hulyadurur@ardahan.edu.tr organization: Department of Computer Engineering, Faculty of Engineering, Ardahan University, Ardahan, Turkey – sequence: 2 givenname: Ali surname: Kurt fullname: Kurt, Ali email: pau.dr.alikurt@gmail.com organization: Department of Mathematics, Faculty of Science and Art, Pamukkale University, Denizli, Turkey – sequence: 3 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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| 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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