Instability of localized pulses in nonlinear electrodynamics

TL;DR

This paper investigates the instability of localized electromagnetic pulses within nonlinear electrodynamics using the Heisenberg-Euler Lagrangian, providing a more direct analysis without relying on slowly varying amplitude approximations.

Contribution

It offers a novel analysis of pulse instability in nonlinear electrodynamics directly from Maxwell's equations with the Heisenberg-Euler Lagrangian, avoiding the slowly varying approximation.

Findings

Instability development aligns with previous slow-variation results.

Analysis based on Maxwell's equations without amplitude approximation.

Supports the robustness of earlier conclusions about pulse instability.

Abstract

We analyse the development of instability in the framework of nonlinear electrodynamics based on the Maxwell's equations without approach of slowly varying amplitudes and phases. The action is chosen from the Heisenberg-Euler Lagrangian, based on invariants of the electromagnetic field. The resulting scenario for the development of instability is consistent with the previously made conclusion in the framework of the approximation of slowly varying amplitudes and phases.