Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability   We present a fairly new and comprehensive approach to the study of stationary
flows of the Korteweg-de Vries hierarchy. They are obtained by means of a
double restriction process from a dynamical system in an infinite number of
variables. This process naturally provides us with a Lax representation of the
flows, which is used to find their bi-Hamiltonian formulation. Then we prove
the separability of these flows making use of their bi-Hamiltonian structure,
and we show that the variables of separation are supplied by the Poisson pair.

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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph