Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System.
  Hamiltonian-Ermakov Integrable Reduction   A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas
law is shown to admit an integrable elliptic vortex reduction when $\gamma=2$
to a nonlinear dynamical subsystem with underlying integrable
Hamiltonian-Ermakov structure. Exact solutions of the magnetogasdynamic system
are thereby obtained which describe a rotating elliptic plasma cylinder. The
semi-axes of the elliptical cross-section, remarkably, satisfy a
Ermakov-Ray-Reid system.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin