Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From one- to two-dimensional solitons in the Ginzburg-Landau model of
  lasers with frequency selective feedback   We use the cubic complex Ginzburg-Landau equation coupled to a dissipative
linear equation as a model of lasers with an external frequency-selective
feedback. It is known that the feedback can stabilize the one-dimensional (1D)
self-localized mode. We aim to extend the analysis to 2D stripe-shaped and
vortex solitons. The radius of the vortices increases linearly with their
topological charge, $m$, therefore the flat-stripe soliton may be interpreted
as the vortex with $m=\infty$, while vortex solitons can be realized as stripes
bent into rings. The results for the vortex solitons are applicable to a broad
class of physical systems. There is a qualitative agreement between our results
and those recently reported for models with saturable nonlinearity.

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The categories of this paper are: comp-gas
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs