Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Darboux transformations and solutions of nonlocal Hirota and
  Maxwell-Bloch equations   In this paper, based on the Hirota and Maxwell-Bloch (H-MB) system and its
application in the theory of the femtosecond pulse propagation through an
erbium doped fiber, we define two kinds of nonlocal Hirota and Maxwell-Bloch
(NH-MB) systems, namely, $PT$-symmetric NH-MB system and reverse space-time
NH-MB system. Then we construct the Darboux transformations of these NH-MB
systems. Meanwhile, we derive the explicit solutions by the Darboux
transformations.

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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio