The generalized fractional perturbed(3 + 1)-dimensional Zakharov-Kuznetsov (PZK) equation, which appears in the magnetized two-ion-temperature dusty plasma, and quantum physics is considered. The sub-equation method in the conformable sense is proposed to obtain exact solutions to this equation. The new solutions obtained by the proposed method are dark soliton, multi-soliton, solitary wave, kink-shape, bell-shaped soliton, 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.
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