Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical study of Davey-Stewartson I systems   An efficient high precision hybrid numerical approach for
  integrable Davey-Stewartson (DS) I equations for trivial boundary conditions
at infinity is presented for
  Schwartz class initial data. The code is used for a detailed numerical study
of DS I solutions in this class. Localized stationary solutions are constructed
and shown to be unstable against dispersion and blow-up. A finite-time blow-up
of initial data in the Schwartz class of smooth rapidly decreasing functions is
discussed.

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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat