Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

Autor: Sergey V. Meleshko, Colin Rogers
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Open Communications in Nonlinear Mathematical Physics, Vol Volume 1 (2021)
Druh dokumentu: article
ISSN: 2802-9356
DOI: 10.46298/ocnmp.7358
Popis: 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.
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