Geodesic
Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets
N.H. Ibragimov1, 2 ; R.N. Ibragimov3, 4 ; L.R. Galiakberova1
1 Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia
2 Center for Mathematical Modeling with Lie Group Analysis (CeMMLiGA) Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
3 Department of Mathematics, University of Texas at Brownsville Brownsville, TX 78520, USA
4 Pacific Northwest National Laboratory, Richland, WA 99352, USA
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 111-118.

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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.
DOI : 10.1051/mmnp/20149507

N.H. Ibragimov 1, 2 ; R.N. Ibragimov 3, 4 ; L.R. Galiakberova 1

1 Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia
2 Center for Mathematical Modeling with Lie Group Analysis (CeMMLiGA) Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
3 Department of Mathematics, University of Texas at Brownsville Brownsville, TX 78520, USA
4 Pacific Northwest National Laboratory, Richland, WA 99352, USA 
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N.H. Ibragimov; R.N. Ibragimov; L.R. Galiakberova. Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 111-118. doi : 10.1051/mmnp/20149507. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149507/

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