Bogoyavlenskij Symmetries of Isotropic and Anisotropic MHD Equilibria as Lie Point Transformations
نویسنده
چکیده
Isotropic Magnetohydrodynamic (MHD) Equilibrium Equations and generalized Anisotropic Magnetohydrodynamic (Chew–Goldberger–Low, CGL) Equilibrium Equations possess infinite-dimensional groups of intrinsic symmetries. We show that certain non-trivial Lie point transformations (that can be obtained by direct application of the general Lie group analysis method) are equivalent to Bogoyavlenskij symmetries in both isotropic and anisotropic cases.
منابع مشابه
Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point transformations
In this paper we establish the correspondence between Bogoyavlenskij symmetries [1, 2] of the MHD equilibrium equations and Lie point transformations of these equations. We show that certain non-trivial Lie point transformations (that are obtained by direct application of Lie method) are equivalent to Bogoyavlenskij symmetries. PACS Codes: 05.45.-a , 02.30.Jr, 02.90.+p, 52.30.Cv.
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