Article
Ufa Mathematical Journal
Volume 4, Number 4, pp. 191-202
On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness
Ibragimov N.H., Rogers C.
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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.