Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bilinear Identities and Hirota's Bilinear Forms for an Extended
  Kadomtsev-Petviashvili Hierarchy   In this paper, we construct the bilinear identities for the wave functions of
an extended Kadomtsev-Petviashvili (KP) hierarchy, which is the KP hierarchy
with particular extended flows (2008, Phys. Lett. A, 372: 3819). By introducing
an auxiliary parameter (denoted by $z$), whose flow corresponds to the
so-called squared eigenfunction symmetry of KP hierarchy, we find the
tau-function for this extended KP hierarchy. It is shown that the bilinear
identities will generate all the Hirota's bilinear equations for the
zero-curvature forms of the extended KP hierarchy, which includes two types of
KP equation with self-consistent sources (KPSCS). It seems that the Hirota's
bilinear equations obtained in this paper for KPSCS are in a simpler form by
comparing with the results by Hu and Wang (2007, Inverse Problems, 23: 1433).

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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat