Collapse of ultra-short pulse of electromagnetic field within non-linear electrodynamics

Abstract

We analyze the development of pulse instability within non-linear electrodynamics based on the Maxwell's equations, without the approximation of slowly varying amplitudes and phases. The action is determined on the basis of the logarithmic and exponential Lagrangians, built on the invariants of the electromagnetic field. It is shown that the onset of the collapse of an ultra-short pulse of the electromagnetic field in the framework of nonlinear electrodynamics.