Solitary self‐gravitational potential in magnetized astrophysical degenerate quantum plasmas

Abstract

A rigorous theoretical investigation has been conducted on solitary self‐gravitational potential structures in a magnetized degenerate quantum plasma system (containing heavy nuclei and degenerate electrons). The reductive perturbation method has been used to derive the Korteweg‐de Vries (K‐dV) equation, which admits a solitary wave solution for small but finite amplitude limit. It has been shown, for the first time, that the periodic U‐shaped structures represented by secant square function [Asaduzzaman et al, Physics of Plasmas, 24, 052102 (2017)] are converted into solitary self‐gravitational potential structures represented by hyperbolic secant square function due to the presence of a static external magnetic field. It is also observed that the effects of the static external magnetic field and obliqueness significantly modify the basic properties (viz. amplitude, width, speed, etc.) of the solitary self‐gravitational potential structures.