Resumo

AKINYEMI, L.. Solutions of generalized fractional perturbed Zakharov-Kuznetsov equation arising in a magnetized dusty plasma. Rev. mex. fis. [online]. 2021, vol.67, n.6, 060703.  Epub 14-Mar-2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.060703.

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.

Palavras-chave : Perturbed (3 + 1)-dimensional Zakharov-Kuznetsov equation; conformable derivative; sub-equation method; Riccati equation; mathematical physics.

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