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Barothropic relaxing media under pressure perturbations: Nonlinear dynamics
Affiliation:1. Department of Mathematics, University of Management and Technology, Lahore, Pakistan;2. School of Engineering and Digital Arts, University of Kent, Canterbury Kent, United Kingdom;3. Faculty of Engineering, University of Central Punjab, Lahore, Pakistan;4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915 Vietnam;5. Department of Mathematics, College of Arts and Science at Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Alkharj 11991, Kingdom of Saudi Arabia;6. Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
Abstract:
In this paper, we delve into the dynamics of a barothropic relaxing medium under pressure perturbations originating from blast wave explosions in the milieu. Analyzing the problem within the viewpoint of the Lyakhov formalism of geodynamic systems, we derive a complex-valued nonlinear evolution equation which models the wave propagation of the pressure perturbations within the barothropic medium. As a result, we find that the previous system can be circularly polarized and hence support traveling rotating pressure excitations which profiles strongly depend upon their angular momenta. In the wake of these results, we address some physical implications of the findings alongside their potential applications.
Keywords:Barothropic relaxing medium  Lyakhov formalism  Wave propagation  Angular momentum
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