Cylindrical Dust Acoustic Shock Waves in a Self‐Gravitational Magnetized Dusty Plasma Compared With Black‐Hole Plasma

ABSTRACT The study of shock waves in complex plasma systems is crucial for understanding various phenomena, such as black holes, various hurricanes, and industrial applications. The study of the propagation and properties of cylindrical dust acoustic shock waves (CDAShWs) is investigated in a self‐gravitational magnetized dusty plasma system, consisting of warm viscous dust fluid and superthermal electrons and ions represented by a kappa distribution. To study the nonlinear dynamics and collisions of dust acoustic shock waves (DAShWs) in the specified plasma environment, we used theoretical and analytical methods. The magnetohydrodynamic (MHD) plasma model is described by equations of motion. Then, we used the reductive perturbation method to derive the nonlinear Korteweg–de Vries–Burgers (KdV‐B) equation. Our results show that increasing the superthermality index ( κ ) significantly increases the CDAShW amplitude. The properties of CDAShWs are affected by nonplanar cylindrical geometries and various plasma parameters. The structure of CDAShWs and their electric field (EF) is similar to the outer structures observed in black‐hole plasma (BHP), especially in accretion disk plasma and plasma jets. This research enables us to understand wave propagation in complex plasmas by bridging theoretical insights with practical implications. It contributes to a deeper comprehension of plasma dynamics in various environments, such as cosmic phenomena, advanced material processing technologies, nuclear fusion reactor safety, and the enhancement of medical device sterilization (such as sterilization of surgical endoscopes).