Resumen

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.

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