Sergey V. Meleshko ; Colin Rogers - Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

ocnmp:7358 - Open Communications in Nonlinear Mathematical Physics, July 16, 2021, Volume 1 - https://doi.org/10.46298/ocnmp.7358
Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

Authors: Sergey V. Meleshko ; Colin Rogers

Reciprocal transformations associated with admitted conservation laws were originally used to derive invariance properties in non-relativistic gasdynamics and applied to obtain reduction to tractable canonical forms. They have subsequently been shown to have diverse physical applications to nonlinear systems, notably in the analytic treatment of Stefan-type moving boundary problem and in linking inverse scattering systems and integrable hierarchies in soliton theory. Here,invariance under classes of reciprocal transformations in relativistic gasdynamics is shown to be linked to a Lie group procedure.


Volume: Volume 1
Published on: July 16, 2021
Accepted on: July 13, 2021
Submitted on: April 14, 2021
Keywords: Mathematical Physics,76M60


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