Dispersive Dust Acoustic Shock Wave Generation in Electron-Depleted Magnetized Superthermal Dusty Plasmas

Abstract

A theoretical study on the behavior of dispersive dust acoustic (DA) shock waves in a dusty plasma characterized by electron depletion and consisting two-temperature superthermal ions has been carried out under the influence of an external magnetic field. An analytical derivation yields a linear dispersion relation, revealing modification induced by the external magnetic field. The dynamics of nonlinear DA shock waves are governed by the Ostrovsky-Burgers equation, which is derived using the standard reductive perturbation approach. Time-dependent computational results reveal that the presence of the magnetic field and ion superthermality affect the dispersive shock properties of the plasma medium. Additionally, it is observed that there is coexistence of both negative and positive potential shock structures. Furthermore, the result of the moving-frame nonlinear analysis predicts that plasma parameters are found to play a vital role in the transition from oscillatory to monotonic shock structures. The results of present investigations could be useful for studying the physical mechanism of nonlinear propagation of shock waves in electron-depleted dusty plasma environments containing two-temperature superthermal ions.