Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries, conservation laws and exact solutions of static plasma
  equilibrium systems in three dimensions   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.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex