Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods

ÖZKAN A., ÖZKAN E. M.

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, cilt.10, sa.3, ss.674-685, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.22034/cmde.2021.41121.1783
  • Dergi Adı: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.674-685
  • Anahtar Kelimeler: Space time fractional Klein-Gordon equation, Ansatz method, Modified Kudryashov method, Exact solutions, DARK SOLITON-SOLUTIONS, DIFFERENTIAL-EQUATIONS, ZAKHAROV-KUZNETSOV, PERIODIC-SOLUTIONS, 1-SOLITON SOLUTION, OPTICAL SOLITONS, COUPLE, BRIGHT
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this work, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined. Firstly, suitable exact soliton solutions are formally extracted by using the solitary wave ansatz method. Some solutions are also illustrated by the computer simulations. Besides, the modified Kudryashov method is used to construct exact solutions of this equation.