Reciprocal transformations of two-component hyperbolic systems and their invariants

Criteria for the equivalence under reciprocal transformations of two-compon ent hyperbolic systems are established in terms of reciprocal invariants. T hese results are applied to a 1+1-dimensional isentropic gasdynamics system to determine reciprocal equivalence to the canonical system with a polytro pic gas law. The four-parameter model pressure-density relations for which this reciprocal equivalence holds are parameterized in terms of the Lagrang ian signal speed. (C) 1998 Academic Press.