Hodograph solutions of the wave equation of nonlinear electrodynamics in the quantum vacuum
Plasma Physics
2019-08-21 v1
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.
Keywords
Cite
@article{arxiv.1903.01733,
title = {Hodograph solutions of the wave equation of nonlinear electrodynamics in the quantum vacuum},
author = {Francesco Pegoraro and Sergei V. Bulanov},
journal= {arXiv preprint arXiv:1903.01733},
year = {2019}
}
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17 pages