Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic waves in a stratified medium: dispersion relations and exact
  solutions   We solve for waves in an isothermal, stratified medium with a magnetic field
that points along a direction perpendicular to that of gravity and varies
exponentially in the direction of gravity. For waves propagating along the
magnetic field, we calculate approximate dispersion relation as a function of
the magnetic field strength. We also find exact solutions for two different
cases: (a) waves propagating along the direction of the magnetic field and (b)
waves propagating along the direction of gravity. In each of these cases, we
find solutions in terms of either confluent hypergeometric functions or Gauss
hypergeometric functions depending on whether the ratio of the scale height of
the magnetic field over the density scale height is equal to two or not.

20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc