Circularly polarized dust Alfvén solitary waves in magnetized gravitative-radiative quantum dusty plasma

Abstract

An effective single fluid quantum magnetohydrodynamic model is used for multicomponent dusty plasma composed of degenerate electrons, ions, and nondegenerate dust species for the investigation of nonlinear circularly polarized dust Alfvén waves in the presence of quantum corrected terms like Fermi and radiation pressures of electrons and ions as well as Jeans term that originates in a self-gravitating, dusty plasma. A set of Zakharovlike equations are derived and are used independently for soliton solutions, incorporating quantum terms and the Jeans term. Using the Sagdeev potential approach, it is observed that ordinary solitons may result in the absence of the Jeans term, whereas cusp solitons are obtained in the presence of the Jeans term. The variation of Sagdeev potential and its associated solitary structure for different parameters are discussed for both right and left handed circularly polarized dust Alfvén waves. It is also observed that increasing the values of the magnetic field and decreasing the dust mass enhance the width of the cusp soliton, while the amplitude remains the same. The modulational instability of the system in view of both quantum and Jeans terms is also looked into, and different conditions of stability and instability for both right and left handed circularly polarized quantum dust Alfvén waves are discussed.