Article
New Travelling Wave Solutions for KdV6 Equation Using 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.
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
H. Durur, A. Kurt and O. Tasbozan, “New travelling wave solutions for KdV6 equation using sub equation method,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 455–460, 2020, doi: 10.2478/amns.2020.1.00043.
Durur H, Kurt A, Tasbozan O. New travelling wave solutions for KdV6 equation using sub equation method. Applied Mathematics and Nonlinear Sciences. 2020;5(1):455–460. doi:10.2478/amns.2020.1.00043.
Durur, H., Kurt, A. and Tasbozan, O. (2020), ‘New travelling wave solutions for KdV6 equation using sub equation method’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 455–460. Available at: https://doi.org/10.2478/amns.2020.1.00043.
Durur, Hülya, et al. “New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 455–460. https://doi.org/10.2478/amns.2020.1.00043.
Durur, Hülya, Ali Kurt, and Orkun Tasbozan. “New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 455–460. https://doi.org/10.2478/amns.2020.1.00043.
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Published by: Engineering Journals


