Dust-ion-acoustic waves in a semi-classical model applying in the frame of the forced Zakharov–Kuznetsov equation

Abstract The study uses a semi-classical hydrodynamic model to investigate dust-ion-acoustic solitary waves (DIASWs) in a magnetized dusty plasma subjected to an external periodic perturbation system that includes ions and a dust grains fluid that is negatively charged; the research involves the utilization of a semi-classical hydrodynamic model. In addition, the research takes into account two distinct spins that occur during the process of electron degeneration. The reductive perturbation technique is used to derive the forced Zakharov–Kuznetsov equation. This equation takes into account the influence of an external periodic force. The results of this equation reveal that the behavior of DIASW is significantly influenced by the degree of polarization, as well as the dust-to-ion equilibrium density ratio, concentrations of fermions with spin-up and spin-down states, the quantum parameter, and periodic external forces. The findings of the research could be useful in cases when the plasma environment that was described previously is present in dense celestial objects such as white dwarfs and neutron stars. Other examples of such objects include neutron stars and white dwarfs.