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

N.H. Ibragimov, R.N. Ibragimov, L.R. Galiakberova, David Damanik, Michael Ruzhansky, Vitali Vougalter, M.W. Wong
2014 Mathematical Modelling of Natural Phenomena  
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 fatcat:3rzkv62awveojmynmwyiunlejq