Solutions of Generalized Fractional Perturbed Zakharov-Kuznetsov Equation Arising in a Magnetized Dusty Plasma


  • Lanre Akinyemi Prairie View A&M University



Perturbed (3 1)-dimensional Zakharov–Kuznetsov equation, Conformable derivative, Sub-equation method, Riccati equation, Mathematical physics


The generalized fractional perturbed (3+1)-dimensional Zakharov–Kuznetsov (PZK) equation which appear in the magnetized two-ion-temperature dusty plasma and quantum physics is considered. The sub-equation method in the conformable sense is proposed to obtained closed-form analytical solutions to this equation. The newly solutions obtained by the proposed method are kink-shape, multi-soliton, solitary wave, bell-shaped solitons, and periodic solutions that are substantial in the field of mathematical physics and can be of relevance in the field of plasma physics, also for future research.

Author Biography

Lanre Akinyemi, Prairie View A&M University

Department of Mathematics


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07 Gravitation, Mathematical Physics and Field Theory