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, cilt.53, sa.9, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11082-021-03144-y
  • Dergi Adı: OPTICAL AND QUANTUM ELECTRONICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: Exact solutions, Generalized Kudryashov method, Symbolic computation, Conformable differential equations, WU-ZHANG SYSTEM
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

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.