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Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets

Published online by Cambridge University Press:  17 July 2014

N.H. Ibragimov
Affiliation:
Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia Center for Mathematical Modeling with Lie Group Analysis (CeMMLiGA) Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
R.N. Ibragimov
Affiliation:
Department of Mathematics, University of Texas at Brownsville Brownsville, TX 78520, USA Pacific Northwest National Laboratory, Richland, WA 99352, USA
L.R. Galiakberova
Affiliation:
Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia
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Abstract

In this paper, we shall obtain the symmetries of the mathematical model describing spontaneous relaxation of eastward jets into a meandering state and use these symmetries for constructing the conservation laws. The basic eastward jet is a spectral parameter of the model, which is in geostrophic equilibrium with the basic density structure and which guarantees the existence of nontrivial conservation laws.

Type
Research Article
Copyright
© EDP Sciences, 2014

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