Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

Reciprocal transformations associated with admitted conservation laws were originally used to derive invariance properties Hair cutting 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 Accessories 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.