Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collapse suppression and stabilization of dipole solitons in
  two-dimensional media with anisotropic semi-local nonlinearity   We consider the impact of anisotropic nonlocality on the arrest of the
collapse and stabilization of dipole-mode (DM) solitons in two-dimensional (2D)
models of optical media with the diffusive nonlinearity. The nonlocal
nonlinearity is made anisotropic through elliptic diffusivity. The medium
becomes semi-local in the limit case of 1D diffusivity. Families of fundamental
and DM solitons are found by means of the variational approximation (VA) and in
a numerical form. We demonstrate that the collapse of 2D beams is arrested even
in the semi-local system. The anisotropic nonlocality readily stabilizes the DM
solitons, which are completely unstable in the isotropic medium.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: eess