We study the dynamics of oscillating discrete solitons in an array of coupled Kerr-nonlinear cavities. They emanate from stationary discrete cavity solitons due to Hopf instability and are very robust. We show that these oscillating solitons can spontaneously lose their spatial symmetry and start rocking around the equilibrium position. Moreover they can suddenly jump to adjacent resonators starting a chaotic motion along the array, resembling the Brownian motion of particles. We also identify the parameter domain where they move with constant velocity across the array.
© 2013 Optical Society of America
Original Manuscript: January 16, 2013
Revised Manuscript: February 18, 2013
Manuscript Accepted: February 18, 2013
Published: March 19, 2013
O. A. Egorov and F. Lederer, "Spontaneously walking discrete cavity solitons," Opt. Lett. 38, 1010-1012 (2013)