Point symmetry group of the barotropic vorticity equation

Details Point symmetry group of the barotropic vorticity equation Point symmetry group of the barotropic vorticity equation

2010-09-08

arxiv.org/abs/1009.1523v1

Proceedings of 5th Workshop "Group Analysis of Differential Equations and Integrable Systems" (June 6-10, 2010, Protaras, Cypr

Physics

Mathematical Physics

13 pages, conference proceedings

Scientific paper

The complete point symmetry group of the barotropic vorticity equation on the $\beta$-plane is computed using the direct method supplemented with two different techniques. The first technique is based on the preservation of any megaideal of the maximal Lie invariance algebra of a differential equation by the push-forwards of point symmetries of the same equation. The second technique involves a priori knowledge on normalization properties of a class of differential equations containing the equation under consideration. Both of these techniques are briefly outlined.

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