Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local well-posedness for the Zakharov system on the background of a line
  soliton   We prove that the Cauchy problem for the two-dimensional Zakharov system is
locally well-posed for initial data which are localized perturbations of a line
solitary wave. Furthermore, for this Zakharov system, we prove weak convergence
to a nonlinear Schr\"odinger equation.

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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an