Propagation of Nonlinear Dust Acoustic Solitons in an Inhomogeneous Magnetized Plasma

This article provides an investigation on the propagation of nonlinear dust acoustic solitons in the environment where non-extensive electrons are present. We have also included effect of the magnetic field in our proposed problem. Assuming the standard dust density profile and its gradient, we have studied the effects of density variations on dust acoustic solitons during their propagation through the inhomogeneous plasma system. We have considered the governing equations of plasma and used the reduction perturbation technique \((RPT)\) for deriving the Zakharov-Kuznetsov \((ZK)\) equation. The solution of the \(ZK\) equation provides the nonlinear behaviours of dust-acoustic solitons and their variations of structures propagating in inhomogeneous magnetized plasmas.