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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 4, Pages 196–207 (Mi ufa181)  

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
Full-text PDF (449 kB) Citations (2)
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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
Document Type: Article
UDC: 517.958+537.84
Language: English
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)
Citation in format AMSBIB
\Bibitem{IbrRog12}
\by N.~H.~Ibragimov, C.~Rogers
\paper On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness
\jour Ufa Math. J.
\yr 2012
\vol 4
\issue 4
\mathnet{http://mi.mathnet.ru/eng/ufa181}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
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    References:70
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