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math.AP2025
Solitonic and Exact Solutions for a Viscous Traffic Flow Model Via Lie Symmetry
Urvashi Joshi, Aniruddha Kumar Sharma, Rajan Arora
This work studies a macroscopic traffic flow model driven by a system of nonlinear hyperbolic partial differential equations. Using Lie symmetry analysis, we determine the infinite…
math.AP2024
Invariance Analysis, Symmetry Reduction and Conservation Laws for Biological Population in Porous Media
Urvashi Joshi, Aniruddha Kumar Sharma, Rajan Arora
This research paper talks about using complex mathematical tools to study and figure out the behavior of biological populations in porous media. Porous media offer a unique environ…