Nonlinear Soliton Interactions in Relativistic Magnetized Systems: Implications for Space and Astrophysical Phenomena

This paper explores the formation and propagation of solitons in a three-fluid weakly relativistic plasma system influenced by an external magnetic field. Employing Normal Mode Analysis and the Reductive Perturbation Technique (RPT), we derive phase velocity relations and examine the effects of density inhomogeneity, relativistic corrections, and magnetic field strength on nonlinear wave evolution [1-3]. Additionally, computational models are utilized to optimize soliton stability predictions and facilitate real-time plasma diagnostics, enhancing their applicability in space propulsion systems and astrophysical environments [4-6]. The study reveals the excitation of a new medium mode due to plasma inhomogeneity, which significantly affects soliton dynamics, particularly in magnetized astrophysical plasmas and controlled nuclear fusion experiments [7-9]. Our results provide critical insights into next-generation plasma-based propulsion technologies and nonlinear wave interactions in extreme astrophysical conditions [10-12].