Two-dimensional solutions for Born-Infeld fields
arXiv:1304.5506 · doi:10.1007/JHEP08(2013)048
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.
10 pages. Minor changes, enlarged and corrected bibliography, published version
References in corpus (5)
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- Born-Infeld electrostatics in the complex plane
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Cited by in corpus (5)
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- Approximated solutions to Born-Infeld dynamics
- Non-perturbative aspects of particle acceleration in non-linear electrodynamics
- On the radiation field of a linearly accelerated charged particle in Born-Infeld theory