The Euler relativistic gasdynamic system. Chaplygin–Kármán–Tsien laws and substitution principle
Year: 2025
Type: article
Abstract: A seed class of exact solutions of the Euler system of two-dimensional relativistic gasdynamics is derived with an underlying Chaplygin–Kármán–Tsien type constitutive law. The invariance of the nonlinear relativistic system under multi-parameter reciprocal Bäcklund transformations is applied to generate a wide class of novel associated solutions with a barotropic relation. The latter reduces to the standard Chaplygin–Kármán–Tsien gas law in the non-relativistic limit. An additional invariance of the general relativistic gasdynamics system is established under a substitution principle. The latter represents an extension of a classical result in non-relativistic gasdynamics.
DOI: 10.4171/rlm/1047
Authors: Colin Rogers, Tommaso Ruggeri
Institutions: UNSW Sydney, Accademia Nazionale dei Lincei, University of Bologna
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409681416