Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new extended discrete KP hierarchy and generalized dressing method   Inspired by the squared eigenfunction symmetry constraint, we introduce a new
$\ta_k$-flow by ``extending'' a specific $t_n$-flow of discrete KP hierarchy
(DKPH). We construct extended discrete KPH (exDKPH), which consists of
$t_n$-flow, $\ta_k$-flow and $t_n$ evolution of eigenfunction and adjoin
eigenfunctions, and its Lax representation. The exDKPH contains two types of
discrete KP equation with self-consistent sources (DKPESCS). Two reductions of
exDKPH are obtained. The generalized dressing approach for solving the exDKPH
is proposed and the N-soliton solutions of two types of the DKPESCS are
presented.

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
13
The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics