Kink shape solutions of the Maxwell-Lorentz system

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3 Pt 2B):036602. doi: 10.1103/PhysRevE.71.036602. Epub 2005 Mar 8.

Abstract

In the limit of high amplitude oscillating electromagnetic fields, a sequence of kink antikink shaped optical waves has been found in the Maxwell's equations coupled to a single Lorentz oscillator and with Kerr nonlinearity. The individual kinks and antikinks result from a traveling wave assumption and their stability has been assessed by numerical simulations. For typical physical parameter values the kink width is of the order of tens of femtoseconds.