The Hyperbolic Function Method for the Fractional (3+1)-Dimensional Generalized Korteweg-De-Veies-Zakharov-Kuznetsov Equation in Plasma Physics

Abstract

The fractional (3+1)-dimensional generalized Korteweg-de-Vries-Zakharov-Kuznetsov equation (gKdV-ZKe) is one of the nonlinear models to indicate the impact of magnetic fields on weak ion-acoustic wave in plasma comprised of cool and hot electrons. We have applied the hyperbolic function method to explore the diversity of wave structures. We extract the solitons in form of bright solitons, dark solitons, bright-dark combo solitons and other solitons. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.