OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 7 — Apr. 1, 2013
  • pp: 1010–1012

Spontaneously walking discrete cavity solitons

O. A. Egorov and F. Lederer  »View Author Affiliations

Optics Letters, Vol. 38, Issue 7, pp. 1010-1012 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (399 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Nonlinear Optics

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1 (2008). [CrossRef]
  2. S. Flach and A. V. Gorbach, Phys. Rep. 467, 1 (2008). [CrossRef]
  3. N. Akhmediev and A. Ankiewicz, Dissipative Solitons (Springer, 2008).
  4. T. Ackemann, W. J. Firth, and G. Oppo, in Advances in Atomic, Molecular, and Optical Physics, Vol. 57 (Elsevier, 2009), pp. 323–421.
  5. U. Peschel, O. Egorov, and F. Lederer, Opt. Lett. 29, 1909 (2004). [CrossRef]
  6. O. Egorov, U. Peschel, and F. Lederer, Phys. Rev. E 71, 056612 (2005). [CrossRef]
  7. A. V. Yulin, A. R. Champneys, and D. V. Skryabin, Phys. Rev. A 78, 011804 (2008). [CrossRef]
  8. A. V. Yulin and A. R. Champneys, SIAM J. Appl. Dyn. Syst. 9, 391 (2010). [CrossRef]
  9. P. Lalanne, C. Sauvan, and J. P. Hugonin, Laser Photon. Rev. 2, 514 (2008). [CrossRef]
  10. R. E. Noskov, P. A. Belov, and Y. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012). [CrossRef]
  11. O. Egorov, U. Peschel, and F. Lederer, Phys. Rev. E 72, 066603 (2005). [CrossRef]
  12. O. Egorov, F. Lederer, and Y. S. Kivshar, Opt. Express 15, 4149 (2007). [CrossRef]
  13. O. Egorov, F. Lederer, and K. Staliunas, Opt. Lett. 32, 2106 (2007). [CrossRef]
  14. S. Fedorov, D. Michaelis, U. Peschel, C. Etrich, D. V. Skryabin, N. Rosanov, and F. Lederer, Phys. Rev. E 64, 036610 (2001). [CrossRef]
  15. Y. S. Kivshar and D. K. Campbell, Phys. Rev. E 48, 3077 (1993). [CrossRef]
  16. L. Hadžievski, A. Maluckov, M. Stepić, and D. Kip, Phys. Rev. Lett. 93, 033901 (2004). [CrossRef]
  17. A. V. Gorbach, S. Denisov, and S. Flach, Opt. Lett. 31, 1702 (2006). [CrossRef]
  18. J. L. Marín, F. Falo, P. J. Martínez, and L. M. Floría, Phys. Rev. E 63, 066603 (2001). [CrossRef]
  19. S. H. Strogatz, Nonlinear Dynamics and Chaos: With Application to Physics, Biology, Chemistry, and Engineering (Westview, 2000).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited