Hodograph solutions of the wave equation of nonlinear electrodynamics in the quantum vacuum
Year: 2019
Authors: Pegoraro F., Bulanov SV.
Autors Affiliation: Univ Pisa, Enrico Fermi Dept Phys, I-56127 Pisa, Italy; CNR, Natl Inst Opt, Via G Moruzzi 1, I-56124 Pisa, Italy; Inst Phys ASCR, ELI Beamlines Project, Slovance 2, Prague 18221, Czech Republic; Kansai Photon Sci Inst, Natl Inst Quantum & Radiol Sci & Technol QST, 8-1-7 Umemidai, Kizugawa, Kyoto 6190215, Japan; RAS, Prokhorov Gen Phys Inst, Vavilov St 38, Moscow 119991, Russia.
Abstract: The process of photon-photon scattering in vacuum is investigated analytically in the long-wavelength limit within the framework of the Euler-Heisenberg Lagrangian. In order to solve the nonlinear partial differential equations (PDEs) obtained from this Lagrangian use is made of the hodograph transformation. This transformation makes it possible to turn a system of quasilinear PDEs into a system of linear PDEs. Exact solutions of the equations describing the nonlinear interaction of electromagnetic waves in vacuum in a one-dimensional configuration are obtained and analyzed.
Journal/Review: PHYSICAL REVIEW D
Volume: 100 (3) Pages from: 036004-1 to: 036004-15
More Information: We thank Drs. G. Korn and N. N. Rosanov for fruitful discussions. Supported by the project High Field Initiative (CZ.02.1.01/0.0/0.0/15_003/0000449) from European Regional Development Fund. F. P. thanks the ELI-Beamlines project for its hospitality in September 2018.KeyWords: FIELD; COLLISIONS; PHOTONDOI: 10.1103/PhysRevD.100.036004ImpactFactor: 4.833Citations: 7data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-12-08References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here