Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable Structure of the Dirichlet Boundary Problem in
  Multiply-Connected Domains   We study the integrable structure of the Dirichlet boundary problem in two
dimensions and extend the approach to the case of planar multiply-connected
domains. The solution to the Dirichlet boundary problem in multiply-connected
case is given through a quasiclassical tau-function, which generalizes the
tau-function of the dispersionless Toda hierarchy. It is shown to obey an
infinite hierarchy of Hirota-like equations which directly follow from
properties of the Dirichlet Green function and from the Fay identities. The
relation to multi-support solutions of matrix models is briefly discussed.

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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph