Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence for the derivative NLS equation in the presence of
  solitons   We prove the existence of global solutions to the DNLS equation with initial
data in a large subset of $H^2(\mathbb R)\cap H^{1,1}(\mathbb R)$ containing a
neighborhood of all solitons. We use the inverse scattering transform method,
which was recently developed by D. Pelinovsky and Y. Shimabukuro, and an
auto-B\"acklund transform in order to include solitons.

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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph