Bogoyavlenskij symmetries of isotropic and anisotropic MHD equilibria as Lie point transformations

Abstract:
In this talk we present the generalization of infinite-dimensional Bogoyavlenskij symmetries of the Magnetohydrodynamic (MHD) Equilibrium Equations on the anisotropic (CGL) plasma equilibria. It is also found that Bogoyavlenskij symmetries correspond to certain Lie point transformations of the equations under consideration. We show that certain non-trivial Lie point transformations (that are obtained by direct application of Lie method) contain the essential structure of Bogoyavlenskij symmetries.