An effective technique for the conformable space-time fractional EW and modified EW equations

Hosseini K., Bekir A., Rabiei F.

NONLINEAR ENGINEERING - MODELING AND APPLICATION, cilt.8, sa.1, ss.157-163, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/nleng-2017-0025
  • Dergi Adı: NONLINEAR ENGINEERING - MODELING AND APPLICATION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.157-163
  • Anahtar Kelimeler: Fractional forms of EW and modified EW equations, Conformable sense, exp(-phi(epsilon))-expansion method, Exact solutions
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The current work deals with the fractional forms of EW and modified EW equations in the conformable sense and their exact solutions. In this respect, by utilizing a traveling wave transformation, the governing space-time fractional models are converted to the nonlinear ordinary differential equations (NLODEs); and then, the resulting NLODEs are solved through an effective method called the exp(-phi(epsilon))-expansion method. As a consequence, a number of exact solutions to the fractional forms of EW and modified EW equations are generated.