OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 23 — Dec. 1, 2013
  • pp: 5098–5101

Dark solitons in the presence of higher-order effects

Theodoros P. Horikis and Dimitrios J. Frantzeskakis  »View Author Affiliations

Optics Letters, Vol. 38, Issue 23, pp. 5098-5101 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (273 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Dark soliton propagation is studied in the presence of higher-order effects, including third-order dispersion, self-steepening, linear/nonlinear gain/loss, and Raman scattering. It is found that for certain values of the parameters a stable evolution can exist for both the soliton and the relative continuous-wave background. Using a newly developed perturbation theory we show that the perturbing effects give rise to a shelf that accompanies the soliton in its propagation. Although, the stable solitons are not affected by the shelf it remains an integral part of the dynamics otherwise not considered so far in studies of higher-order nonlinear Schrödinger models.

© 2013 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5650) Nonlinear optics : Raman effect
(160.3918) Materials : Metamaterials

ToC Category:
Nonlinear Optics

Original Manuscript: September 26, 2013
Revised Manuscript: October 21, 2013
Manuscript Accepted: October 24, 2013
Published: November 25, 2013

Theodoros P. Horikis and Dimitrios J. Frantzeskakis, "Dark solitons in the presence of higher-order effects," Opt. Lett. 38, 5098-5101 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. T. Taniuti, Prog. Theor. Phys. Suppl. 55, 1 (1974). [CrossRef]
  2. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Clarendon, 1995).
  3. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2012).
  4. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  5. M. Florjańczyk and L. Gagnon, Phys. Rev. A 41, 4478 (1990). [CrossRef]
  6. K. Hizanidis, D. J. Frantzeskakis, and C. Polymilis, J. Phys. A 29, 7687 (1996). [CrossRef]
  7. K. Porsezian and K. Nakkeeran, Phys. Rev. Lett. 76, 3955 (1996). [CrossRef]
  8. D. Mihalache, N. Truta, and L. C. Crasovan, Phys. Rev. E 56, 1064 (1997). [CrossRef]
  9. S. L. Palacios, A. Guinea, J. M. Fernández-Díaz, and R. D. Crespo, Phys. Rev. E 60, R45 (1999). [CrossRef]
  10. W.-J. Liu, B. Tian, H.-Q. Zhang, T. Xu, and H. Li, Phys. Rev. E 79, 063810 (2009). [CrossRef]
  11. Yu. S. Kivshar, Phys. Rev. A 42, 1757 (1990). [CrossRef]
  12. Yu. S. Kivshar and V. V. Afanasjev, Phys. Rev. A 44, R1446 (1991). [CrossRef]
  13. D. J. Frantzeskakis, J. Phys. A 29, 3631 (1996). [CrossRef]
  14. I. M. Uzunov and V. S. Gerdjikov, Phys. Rev. A 47, 1582 (1993). [CrossRef]
  15. Yu. S. Kivshar and X. Yang, Phys. Rev. E 49, 1657 (1994). [CrossRef]
  16. V. V. Konotop and V. E. Vekslerchik, Phys. Rev. E 49, 2397 (1994). [CrossRef]
  17. X. J. Chen, Z. D. Chen, and N. N. Huang, J. Phys. A 31, 6929 (1998). [CrossRef]
  18. N. N. Huang, S. Chi, and X. J. Chen, J. Phys. A 32, 3939 (1999). [CrossRef]
  19. V. M. Lashkin, Phys. Rev. E 70, 066620 (2004). [CrossRef]
  20. G. Assanto, T. R. Marchant, A. A. Minzoni, and N. F. Smyth, Phys. Rev. E 84, 066602 (2011). [CrossRef]
  21. M. J. Ablowitz, S. D. Nixon, T. P. Horikis, and D. J. Frantzeskakis, Proc. R. Soc. A 2133, 2597 (2011).
  22. T. Tsuzuki, J. Low Temp. Phys. 4, 441 (1971). [CrossRef]
  23. A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 171 (1973). [CrossRef]
  24. Yu. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998). [CrossRef]
  25. D. J. Frantzeskakis, J. Phys. A 43, 213001 (2010). [CrossRef]
  26. A. Piccardi, A. Alberucci, N. Tabiryan, and G. Assanto, Opt. Lett. 36, 1356 (2011). [CrossRef]
  27. H. Ikeda, M. Matsumoto, and A. Hasegawa, Opt. Lett. 20, 1113 (1995). [CrossRef]
  28. A. Maruta and Y. Kodama, Opt. Lett. 20, 1752 (1995). [CrossRef]
  29. A. D. Kim, W. L. Kath, and C. G. Goedde, Opt. Lett. 21, 465 (1996). [CrossRef]
  30. N. Efremidis, K. Hizanidis, H. E. Nistazakis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. E 62, 7410 (2000). [CrossRef]
  31. M. Scalora, M. S. Syrchin, N. Akozbek, E. Y. Poliakov, G. D’Aguanno, N. Mattiucci, M. J. Bloemer, and A. M. Zheltikov, Phys. Rev. Lett. 95, 013902 (2005). [CrossRef]
  32. S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, Phys. Rev. E 73, 036617 (2006). [CrossRef]
  33. S. Wen, Y. Xiang, X. Dai, Z. Tang, W. Su, and D. Fan, Phys. Rev. A 75, 033815 (2007). [CrossRef]
  34. N. L. Tsitsas, N. Rompotis, I. Kourakis, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. E 79, 037601 (2009). [CrossRef]
  35. W. L. Kath and N. F. Smyth, Phys. Rev. E 51, 1484 (1995). [CrossRef]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited