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MPIPKS:
Stochastic processes
Abstract:
This investigation aims to study the effect of dust pressure anisotropy, self-gravitational forces, and magnetic forces on the gravitational instabilities and associated low-frequency rogue wave (RW) profile as well as oblique interaction characteristics of low-frequency dust-acoustic (DA) solitary waves (DASWs) in an electron-depleted dusty plasma. The current plasma model comprises inertial warm, positively and negatively charged massive dust grains and non-extensive ions. Following the quasi-linear theory, the extended Poincar & eacute;-Lighthill-Kuo (PLK) perturbation technique, and Jean's criterion, the two-sided Korteweg-de Vries (KdV) equations and corresponding analytical phase shifts due to collision are derived and analyzed. The critical configuration of the current plasma model that renders the KdV compressive or rarefactive DASWs invalid and leads to the formation of the modified KdV (mKdV)-type solitons is determined. The findings from computational simulations unequivocally demonstrate that parallel and perpendicular dust pressures do not exhibit the same behavior rigorously. Furthermore, the presence of the magnetic field and dust pressure anisotropy has been found to inhibit gravitational instabilities and significantly modify DA RW triplets, which can evolve into super rogue waves through the superposition of triplets. The collision scenarios involving solitons of both similar and opposite polarities traveling toward each other, as well as the influential roles played by the crossing angle, magnetic field, gravitational field, ion entropic index, and dust pressure along and across magnetic field lines on phase shifts and DA RWs, are extensively discussed in detail. The possible applications of the present work for various space plasma scenarios, including dense molecular clouds and interstellar medium, are anticipated. This study will contribute to understanding the dynamics of the generation and propagation of both RWs and the collision of solitons. Once the mechanics of their generation and propagation are understood, these waves can be devoted to many industrial and medical applications.
