Nucleus acoustic wave structures in self-gravitational quantum plasma—White dwarfs application

Abstract

This study delves into the criteria governing the formation of various nonlinear features observed in nucleus acoustic (NA) waves propagating within a magnetized, relativistic, and self-gravitating quantum plasma system. Comprising relativistic degenerate electrons and non-degenerate light and heavy nuclei, this plasma system is characterized by its complex dynamics. Utilizing the Zakharov–Kuznetsov–Burgers equation derived through the reductive perturbation technique, we conduct numerical bifurcation analysis to explore the intricate interplay between dispersion, dissipation, and nonlinear effects. Our analysis reveals the emergence of diverse structures, including oscillatory shock waves, monotonic shock waves, solitons, and multi-soliton patterns. Moreover, we observe significant modifications in the basic features (such as polarity, width, and amplitude) of NA nonlinear wave structures due to the effects of viscosity term, Jeans instability, cyclotron frequency, electron number density, and other physical parameters. These findings contribute to the interpretation of nonlinear structures observed in the interiors of white dwarfs.