Abstract
Criteria for the equivalence under reciprocal transformations of two-component hyperbolic systems are established in terms of reciprocal invariants. These results are applied to a 1+1-dimensional isentropic gasdynamics system to determine reciprocal equivalence to the canonical system with a polytropic gas law. The four-parameter model pressure-density relations for which this reciprocal equivalence holds are parameterized in terms of the Lagrangian signal speed.
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