Two-dimensional solutions for Born-Infeld fields
High Energy Physics - Theory
2016-02-16 v2 Mathematical Physics
math.MP
Abstract
The non-linear second order Born-Infeld equation is reduced to a simpler first order complex equation, which can be trivially solved for the coordinates as functions of the field. Each solution is determined by the choice of a holomorphic function subjected to boundary conditions. The explanation of the method is accompanied by applications to Born-Infeld electrostatics, magnetostatics and wave propagation.
Keywords
Cite
@article{arxiv.1304.5506,
title = {Two-dimensional solutions for Born-Infeld fields},
author = {Rafael Ferraro},
journal= {arXiv preprint arXiv:1304.5506},
year = {2016}
}
Comments
10 pages. Minor changes, enlarged and corrected bibliography, published version