Journal
PHYSICAL REVIEW D
Volume 101, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.101.016016
Keywords
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Funding
- project High Field Initiative from the European Regional Development Fund, by the Program of Russian Academy of Sciences Mathematics and Nonlinear Dynamics [CZ.02.1.01/0.0/0.0/15_003/0000449]
- fellowship (award) Czech edition of L'Oreal UNESCO For Women In Science 2019
- Office of Science of the U.S. DOE [DE-AC02-05CH11231]
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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 the presence of electromagnetic waves with small but finite wave numbers 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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