Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of Kupershmidt deformations   We prove that the Kupershmidt deformation of a bi-Hamiltonian system is
itself bi-Hamiltonian. Moreover, Magri hierarchies of the initial system give
rise to Magri hierarchies of Kupershmidt deformations as well. Since
Kupershmidt deformations are not written in evolution form, we start with an
outline a geometric framework to study Hamiltonian properties of general
non-evolution differential equations, developed in [2] (see also
arXiv:0812.4895).

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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn