Dynamical properties and novel wave solutions of the time-fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in plasma physics

SAN S., Sargın S.

Optical and Quantum Electronics, cilt.55, sa.8, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 55 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11082-023-04979-3
  • Dergi Adı: Optical and Quantum Electronics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: Bifurcation analysis, Fractional partial differential equations, Phase portraits, Soliton solutions
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The paper is intended to investigate of the extended time fractional (2+1) dimensional Zakharov–Kuznetsov (tf-ZK) equation with the sense of Riemann–Liouville (R–L) fractional derivative operator. Utilizing the planar dynamical system theory, determined the equilibrium points for different cases and properties revealed. We also show phase portraits of propagating wave solutions for taking the some parameters with special values. At the same time, we employ the fractional complex transformation for the generalized exponential rational function method (GERFM) and sub equation method, we construct abundant exact solitary wave, kink wave, refracted wave and periodic wave solutions. Taking the special values for some parameters interesting figures of traveling wave solutions were depicted.