Symmetries, conservation laws and exact solutions of static plasma equilibrium systems in three dimensions

Details Symmetries, conservation laws and exact solutions of static plasma equilibrium systems in three dimensions Symmetries, conservation laws and exact solutions of static plasma equilibrium systems in three dimensions

2007-08-30

arxiv.org/abs/0708.4247v3

Physics

Mathematical Physics

6 figures, 2 tables

Scientific paper

10.1016/j.physleta.2007.09.065

For static reductions of isotropic and anisotropic Magnetohydrodynamics plasma equilibrium models, a complete classification of admitted point symmetries and conservation laws up to first order is presented. It is shown that the symmetry algebra for the isotropic equations is finite-dimensional, whereas anisotropic equations admit infinite symmetries depending on a free function defined on the set of magnetic surfaces. A direct transformation is established between isotropic and anisotropic equations, which provides an efficient way of constructing new exact anisotropic solutions. In particular, axially and helically symmetric anisotropic plasma equilibria arise from classical Grad-Shafranov and JFKO equations.

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