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arXiv · 1304.5506

Two-dimensional solutions for Born-Infeld fields

Rafael Ferraro
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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.

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Rafael Ferraro. 2013-12-17. Two-dimensional solutions for Born-Infeld fields. https://doi.org/10.1007/jhep08(2013)048

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