Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electromagnetic Solitons in Quantum Vacuum   In the limit of extremely intense electromagnetic fields the Maxwell
equations are modified due to the photon-photon scattering that makes the
vacuum refraction index depend on the field amplitude. In presence of
electromagnetic waves with small but finite wavenumbers the vacuum behaves as a
dispersive medium. We show that the interplay between the vacuum polarization
and the nonlinear effects in the interaction of counter-propagating
electromagnetic waves can result in the formation of Kadomtsev-Petviashvily
solitons and, in one-dimension configuration, of Korteveg-de-Vries type
solitons that can propagate over a large distance without changing their shape.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an