Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Liouville correspondence between the Short-Pulse Hierarchy and the
  Sine-Gordon Hierarchy   This paper considers the whole hierarchy of bi-Hamiltonian integrable
equations associated to each of the Short-Pulse (SP) equation and the
Sine-Gordon (SG) equation. We prove that the transformation that relates the SP
equation with the SG equation also serves to establish the correspondence
between their flows and Hamiltonian conservation laws in respective hierarchy.

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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: adap-org