Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular sectors of the 1-layer Benney and dToda systems and their
  interrelations   Complete description of the singular sectors of the 1-layer Benney system
(classical long wave equation) and dToda system is presented. Associated
Euler-Poisson-Darboux equations E(1/2,1/2) and E(-1/2,-1/2) are the main tool
in the analysis. A complete list of solutions of the 1-layer Benney system
depending on two parameters and belonging to the singular sector is given.
Relation between Euler-Poisson-Darboux equations E(a,a) with opposite sign of a
is discussed.

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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas