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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 4, Pages 196–207
(Mi ufa181)
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This article is cited in 2 scientific papers (total in 2 papers)
On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness
N. H. Ibragimovab, C. Rogerscd 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.
Received: 09.11.2012
Citation:
N. H. Ibragimov, C. Rogers, “On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness”, Ufa Math. J., 4:4 (2012)
Linking options:
https://www.mathnet.ru/eng/ufa181 https://www.mathnet.ru/eng/ufa/v4/i4/p196
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Statistics & downloads: |
Abstract page: | 551 | Full-text PDF : | 178 | References: | 70 | First page: | 2 |
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