Exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov equation


Unal S. C. , DAŞCIOĞLU A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.7379
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Özet

In this study, an analytic method based on the Jacobi elliptic functions has been presented to obtain the exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov (KdV-ZK) equation. This equation is reduced to a nonlinear ordinary differential equation. The elementary and elliptic function solutions of this equation are investigated. Many exact solutions containing the rational, complex, trigonometric, and hyperbolic functions are also found. Besides, some of the solutions are demonstrated by the graphics.