Ion acoustic wave in relativistic magnetized quantum plasma with positive ions, negative ions, electrons and stationary dust particles

Abstract

The propagation of the ion acoustic (IA) solitary waves (SWs) in a degenerate quantum plasma with external magnetic field (containing magnetized positive and negative ions, unmagnetized quantum electrons with stationary charged dust particles) have been theoretically investigated. The Reductive Perturbation method is adopted to derive the Korteweg-de Varies (K-dV), the modified K-dV (mK-dV) and mixed mK-dV (mmK-dV) equations. The stationary solutions of K-dV, mK-dV and mmK-dV are shown and analyzed numerically to study the basic characteristics of IASWs that are commonly formed in degenerate quantum plasmas. Main process of the propagation of waves through oscillation in plasma is investigated graphically. The basic properties (phase speed, width, amplitude) of IASWs are found to be significantly modified by the effects of number densities of the plasma particles, mass of the ions, relativistically degenerate electrons , external magnetic field and charge state of the dust particles. The outcomes from this conceptual analysis can be significant for understanding the layout and prominence of the solitary structures in astrophysical compact objects. Besides that the data from this research can be used for developing advanced concepts related to plasma physics in future.