Zakharov Kuznetsov equation for four component dust magnetoplasma using the multi-fluid concept

Abstract

The present article aims to put forward a theoretical and numerical investigation of linear and nonlinear dust ion acoustic (DIA) waves in a four component magnetized dusty plasma by using the multi-fluid concept. In particular the dynamics of low amplitude DIA solitons is investigated via the Zakharov Kuznetsov type nonlinear evolution equation derived by employing the reductive perturbation technique. We consider two cases. The first one considers the existence and propagation of DIA waves in a four component dusty plasma when the ions are inertial while the dust particulates are assumed to be stationary, while in the second case the ions and both positively and negatively charged dust grains are assumed as inertial species. Electrons in both cases are considered to be isothermal. It is observed that both the positive and negative solitons are coexisted in the present plasma model. The characteristics of DIA solitons in both cases are investigated with effect of the both positive and negative dust concentrations, magnetic field and different temperature ratios. By using the small-k expansion method the soliton stability analysis is carried out for both cases. It appears timely to add that the theoretical results presented herein are supported by the numerical analysis and illustrations. The relevance of the study carried out to the laboratory and cosmic plasmas is also pointed out.