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
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.
Bateman-type reciprocal transformations, gasdynamics, non-local symmetries and conservation laws.
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N. H. Ibragimov, C. Rogers, “On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness”, Ufimsk. Mat. Zh., 4:4 (2012), 196–207
Citation in format AMSBIB
\by N.~H.~Ibragimov, C.~Rogers
\paper On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness
\jour Ufimsk. Mat. Zh.
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Rogers C., Schief W.K., “the Classical Korteweg Capillarity System: Geometry and Invariant Transformations”, J. Phys. A-Math. Theor., 47:34 (2014), 345201
Ibragimov N.H., “Construction of Conservation Laws Using Symmetries”, Similarity and Symmetry Methods: Applications in Elasticity and Mechanics of Materials, Lecture Notes in Applied and Computational Mechanics, 73, eds. Ganghoffer J., Mladenov I., Springer-Verlag Berlin, 2014, 61–164
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