Soliton solution and other solutions to a nonlinear fractional differential equation

GÜNER Ö., ÜNSAL Ö., Bekir A., Kadem A.

11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), La Rochelle, Fransa, 4 - 08 Temmuz 2016, cilt.1798 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1798
  • Doi Numarası: 10.1063/1.4972761
  • Basıldığı Şehir: La Rochelle
  • Basıldığı Ülke: Fransa
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the ansatz method and the functional variable method are used to construct exact solutions for (3 + 1)-dimensional time fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation. This fractional equation is turned into another nonlinear ordinary differential equation by fractional complex transform then these methods are applied to solve it. As a result, some new exact solutions obtained.