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Description
Dusty plasma comprises charged dust particles, ions, electrons, etc. They are prevalent outside of Earth as well. In this work, we aim to study the plasma environment outside of Jupiter. Specifically, the shock waves that form when solar wind interacts with Jupiter’s magnetosphere. We also draw comparisons from shock waves in Earth’s and Saturn’s magnetospheres. The methodology comprises Lie groups and self-similarity analysis. The research problem is defined using a collisionless multi-fluid plasma system, which is represented by partial differential equations (PDEs) and converted into ordinary differential equations (ODEs) using self-similarity transformations and physics-informed neural networks. The results highlight the dynamics of the flow variables, which help us understand the behavior of shocks in dusty plasma around Jupiter. The research concludes that due to the dominance of the thermal effect, the extraterrestrial shock follows an exponential path and decays with no steep fronts.