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.

Variable dust charge generates a special type of nonlinear structures through modified Gardner equations

“…In a Q‐machine, inserting a grid Barkan et al, [ 14 ] Nakamura et al, [ 15 ] and Melrino et al [ 16 ] observed the plasma column in laboratory experiments. Some recent novel and important investigations have been reported in dusty plasma, [ 17,18 ] ordinary plasmas, [ 19–22 ] and quantum plasmas [ 23–25 ] where DASWs and IASWs structures have been extensively studied in the framework of two‐dimensional nonlinear Kadomtsev‐Petviashvili (KP), Kadomtsev‐Petviashvili‐Burgers (KPB) equations, three dimensional Zakharov–Kuznetsov (ZK), and Zakharov–Kuznetsov–Burgers (ZKB) equations. These investigations [ 17–25 ] might be very much effective to derive another nonlinear evolution equations from complicated physical problems modelled by complex nonlinear partial differential equations arising in mathematical physics, hydrodynamics, fluid mechanics, mathematical biology, plasma physics, engineering disciplines, chemistry, and many other natural sciences through straightforward calculations.…”

Study of lump soliton structures in quantum electron‐positron‐ion magnetoplasma

“…[3][4][5] White dwarfs, neutron stars, and active galactic nuclei are examples of space plasmas where they can be found. [6][7][8][9][10][11][12] Hence, Quantum plasma is a very appealing and interesting research topic due to its numerous manifestations and certainly exceptional features. In the last decade, interest in the study of nonlinear features associated with quantum plasmas [13] has risen dramatically due to its technological advancements in quantum plasma echoes, [14] in the expansion of a quantum electron gas into vacuum, [15] in quantum plasma instabilities as well as in laboratory experiment namely, intense laser-solid matter interaction experiment [16,17] etc.…”