Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some exact solutions of the Volterra lattice   We study solutions of the Volterra lattice satisfying the stationary equation
for its non-autonomous symmetry. It is shown that the dynamics in $t$ and $n$
are governed by the continuous and discrete Painlev\'e equations, respectively.
The class of initial data leading to regular solutions is described. For the
lattice on the half-line, these solutions are expressed in terms of the
confluent hypergeometric function. The Hankel transform of the coefficients of
the corresponding Taylor series is computed on the basis of the Wronskian
representation of the solution.

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The categories of this paper are: patt-sol
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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: stat
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph