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.

中文翻译：

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磁化天体退化简并等离子体中的孤子自重势

在磁化简并量子等离子体系统（包含重原子核和简并电子）中，对孤子自重势能结构进行了严格的理论研究。还原摄动法已用于推导Korteweg-de Vries（K-dV）方程，该方程允许对较小但有限的振幅极限进行孤立波解。首次表明，以割线平方函数表示的周期性U形结构[Asaduzzaman等，等离子物理，24，052102（2017）]转换为由于存在静态外部磁场而由双曲线正割平方函数表示的孤立的自重势结构。还观察到，静态外部磁场和倾斜的影响会极大地改变孤立的自重势势结构的基本属性（即幅度，宽度，速度等）。