CONICET | Buscador de Institutos y Recursos Humanos

Born-Infeld theory is a non-linear electrodynamics which departs from Maxwell´s electromagnetism for large values of the fields. We will show some solutions of Born-Infeld equations: i) a wave propagating in a background field (the propagation velocity is lower than c and the ray does not coincide with the wave vector), ii) a wave propagating in a waveguide (the dispersion relation depends on the amplitude), iii) the electrostatic multipoles in two dimensions, iv) the corrections to the Coulombian interaction between two charges. Some of these solutions are worked out by means of a suitable non-holomorphic transformation of the complex plane.