Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher order Painleve system of type D^{(1)}_{2n+2} arising from
  integrable hierarchy   A higher order Painleve system of type D^{(1)}_{2n+2} was introduced by Y.
Sasano. It is an extension of the sixth Painleve equation for the affine Weyl
group symmetry. It is also expressed as a Hamiltonian system of order 2n with a
coupled Painleve VI Hamiltonian. In this paper, we discuss a derivation of this
system from a Drinfeld-Sokolov hierarchy.

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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess