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, vol.55, no.8, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Review
  • Volume: 55 Issue: 8
  • Publication Date: 2023
  • Doi Number: 10.1007/s11082-023-04979-3
  • Journal Name: Optical and Quantum Electronics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Bifurcation analysis, Fractional partial differential equations, Phase portraits, Soliton solutions
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.