N. H. Ibragimov, C. Rogers, “On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness”, Ufimsk. Mat. Zh., 2012, Volume 4, Issue 4,Pages <nobr>196

This article is cited in 2 papers

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

N. H. Ibragimov^ab, C. Rogers^cd

^a Laboratory Group analysis of mathematical models in natural and engineering sciences, Ufa State Aviation Technical University, Ufa, Russia
^b Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, Karlskrona, Sweden
^c Clare Hall, University of Cambridge, UK
^d Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

Abstract: 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.

Keywords: Bateman-type reciprocal transformations, gasdynamics, non-local symmetries and conservation laws.

UDC: 517.958+537.84

Received: 09.11.2012

Language: English