Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear photonic crystals near the supercollimation point   We uncover a strong coupling between nonlinearity and diffraction in a
photonic crystal at the supercollimation point. We show this is modeled by a
nonlinear diffraction term in a nonlinear schroedinger type equation, in which
the properties of solitons are investigated. Linear stability analysis shows
solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov
criterium. In addition, we investigate the influence of the nonlinear
diffraction on soliton collision scenarios.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
1
The categories of this paper are: cs