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

被引：0
作者：
Sait San
Sebahat Sargın
机构：
[1] Eskişehir Osmangazi University,Department of Mathematics and Computer Sciences
来源：
Optical and Quantum Electronics | 2023年 / 55卷
关键词：
Fractional partial differential equations; Bifurcation analysis; Phase portraits; Soliton solutions; 35R11; 76M60; 34A05; 35C08;
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摘要：
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.
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