Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spiraling elliptic breathers in saturable nonlinear media with linear
  anisotropy   We have introduced a class of spiraling elliptic breathers in saturable
nonlinear media with linear anisotropy. Two kinds of evolution behaviors of the
breathers, rotating and pendulum-like librating, are both predicted by the
variational approach, and confirmed by the numerical simulation.The spiraling
elliptic breathers can rotate even though they have no initial orbital angular
momentum (OAM). Due to the linear anisotropy of the media, the OAM is no longer
conserved. Therefore, the angular velocity is found to be not a constant but a
periodic function of the propagation distance. When the linear anisotropy is
large enough, the spiraling elliptic breathers can librate like the pendulum.
The spiraling elliptic breathers exist in the media with not only the saturable
nonlinearity but also the nonlocal nonlinearity, as a matter of fact, they are
universal in the nonlinear media with the linear anisotropy.

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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex