New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

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Durur H., Kurt A., TAŞBOZAN O.

Applied Mathematics and Nonlinear Sciences, cilt.5, sa.1, ss.455-460, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/amns.2020.1.00043
  • Dergi Adı: Applied Mathematics and Nonlinear Sciences
  • Derginin Tarandığı İndeksler: Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Sayfa Sayıları: ss.455-460
  • Anahtar Kelimeler: Conformable fractional derivative, KdV6 equation, Wave Solution, Sub-Equation method
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

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.