Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

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