Collision dynamics of magnetoacoustic waves in a spin-1/2 dense quantum degenerate plasma: Analysis of overtaking interactions

Abstract

This study explores the overtaking collision of magnetoacoustic solitary waves in a dense electron-ion magnetoplasma, accounting for spin-1/2 electrons, within the framework of a two-fluid quantum magnetohydrodynamic model. Nonlinear investigations of the plasma system using the reductive perturbation method lead to the production of the Korteweg de Vries (KdV) equation, which admits compressive solitary waves. The overtaking collision of two and three-soliton solutions is examined using Hirota’s bilinear technique. Physical parameters such as the magnetic field, ions and electrons number densities, have a significant impact on the energy interchange during overtaking collisions and cause alterations in the behavior of the solitons. Notably, as the electron density increases or magnetic field decreases, the amplitude of the solitons decreases. Furthermore, the system parameters also affect the phase shifts of the solitons. The findings presented here have potential applications in the study of magnetoacoustic waves in strongly magnetized compact astrophysical systems as white dwarfs, pulsars, and magnetars where quantum spin effects cannot be ignored, as well as in laboratory plasmas.