Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

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Reciprocal Travel Fee 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 Course a pied - Homme - Vetements - Collant - Long is shown to be linked to a Lie group procedure.