Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the exp(-phi/(epsilon))-expansion method

Hosseini K., Bekir A., Ansari R.

OPTICAL AND QUANTUM ELECTRONICS, cilt.49, sa.4, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11082-017-0968-9
  • Dergi Adı: OPTICAL AND QUANTUM ELECTRONICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Nonlinear fractional Boussinesq equations are considered as an important class of fractional differential equations in mathematical physics. In this article, a newly developed method called the exp(-phi/(epsilon))-expansion method is utilized to study the nonlinear Boussinesq equations with the conformable time-fractional derivative. Different forms of solutions, including the hyperbolic, trigonometric and rational function solutions are formally extracted. The method suggests a useful and efficient technique to look for the exact solutions of a wide range of nonlinear fractional differential equations.