Monday, April 22, 2013

1304.5506 (Rafael Ferraro)

Two-dimensional solutions for Born-Infeld fields    [PDF]

Rafael Ferraro
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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