Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix extension of the Manakov-Santini system and integrable chiral
  model on Einstein-Weyl background   It was demonstrated recently [Dunajski, Ferapontov and Kruglikov (2014)] that
the Manakov-Santini system describes a local form of general Lorentzian
Einstein-Weyl geometry. We introduce integrable matrix extension of the
Manakov-Santini system and show that it describes (2+1)-dimensional integrable
chiral model in Einstein-Weyl space. We develop a dressing scheme for the
extended MS system and define an extended hierarchy. Matrix extension of Toda
type system connected with another local form of Einstein-Weyl geometry is also
considered.

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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: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg