The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method

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Kaplan M., Akbulut A.

OPTICAL AND QUANTUM ELECTRONICS, vol.53, no.9, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1007/s11082-021-03144-y
  • Journal Name: OPTICAL AND QUANTUM ELECTRONICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Exact solutions, Generalized Kudryashov method, Symbolic computation, Conformable differential equations, WU-ZHANG SYSTEM
  • Bursa Uludag University Affiliated: No

Abstract

In this study, we applied the generalized Kudryashov method to two different conformable fractional differential equations and one system namely Burgers' equation with conformable derivative, Wu-Zhang system with conformable derivative, and the conformable sinh-Gordon equation. Obtained solutions are soliton-type solutions. All obtained solutions have been verified and considered correct by placing them in the original equation with the help of the Maple software program. Also, we have plotted three-dimensional (3D) graphs of some of these solutions with the help of Maple.