Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized W-algebras and Integrable Hierarchies   We report on generalizations of the KdV-type integrable hierarchies of
Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical
$W$-algebras, which arise as the second Hamiltonian structure of the
hierarchies. In particular, we present a construction of the $W_n^{(l)}$
algebras.

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The categories of this paper are: eess
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
2
The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga