RECIPROCAL TRANSFORMATIONS IN RELATIVISTIC GASDYNAMICS. LIE GROUP CONNECTIONS

Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections

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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 Seasonal applications to nonlinear systems, notably in the analytic treatment of Stefan-type moving Rocks Glasses 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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