On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness

Bateman-type reciprocal transformations are represented as non-local infinitesimal symmetries of the governing equations of steady, two-dimensional, inviscid gasdynamics. In particular, this representation allows the construction of a novel non-local conservation law using the recently introduced concept of nonlinear self-adjointness.