OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 7 — Apr. 1, 2014
  • pp: 2175–2178

Breathing solitary-pulse pairs in a linearly coupled system

Brenda Dana, Boris A. Malomed, and Alon Bahabad  »View Author Affiliations

Optics Letters, Vol. 39, Issue 7, pp. 2175-2178 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (467 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



It is shown that pairs of solitary pulses (SPs) in a linearly coupled system with opposite group velocity dispersions form robust breathing bound states. The system can be realized by temporal-modulation coupling of SPs with different carrier frequencies propagating in the same medium, or by coupling of SPs in a dual-core waveguide. Broad SP pairs are produced in a virtually exact form by means of the variational approximation. Strong nonlinearity tends to destroy the periodic evolution of the SP pairs.

© 2014 Optical Society of America

OCIS Codes
(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

Original Manuscript: January 23, 2014
Revised Manuscript: February 13, 2014
Manuscript Accepted: February 17, 2014
Published: March 31, 2014

Brenda Dana, Boris A. Malomed, and Alon Bahabad, "Breathing solitary-pulse pairs in a linearly coupled system," Opt. Lett. 39, 2175-2178 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Arbel and M. Orenstein, IEEE J. Quantum Electron. 35, 977 (1999). [CrossRef]
  2. D. Turaev, A. G. Vladimirov, and S. Zelik, Phys. Rev. E 75, 045601 (2007). [CrossRef]
  3. C. R. Menyuk, J. K. Wahlstrand, J. Willits, R. P. Smith, T. R. Schibli, and S. T. Cundiff, Opt. Express 15, 6677 (2007). [CrossRef]
  4. F. Biancalana, A. Amann, A. V. Uskov, and E. P. O’Reilly, Phys. Rev. E 75, 046607 (2007). [CrossRef]
  5. A. B. Shvartsburg, Physics-Uspekhi 48, 797 (2005). [CrossRef]
  6. A. Bahabad, M. M. Murnane, and H. C. Kapteyn, Nat. Photonics 4, 570 (2010). [CrossRef]
  7. S. Kobtsev, S. Kukarin, S. Smirnov, S. Turitsyn, and A. Latkin, Opt. Express 17, 20707 (2009). [CrossRef]
  8. D. Y. Tang, L. M. Zhao, X. Wu, and H. Zhang, Phys. Rev. A 80, 0236806 (2009).
  9. A. Zavyalov, R. Iliew, O. Egorov, and F. Lederer, Phys. Rev. A 80, 043829 (2009). [CrossRef]
  10. R. Weill, A. Bekker, V. Smulakovsky, B. Fischer, and O. Gat, Phys. Rev. A 83, 043831 (2011). [CrossRef]
  11. Y. F. Song, L. Li, H. Zhang, D. Y. Shen, D. Y. Tang, and K. P. Loh, Opt. Express 21, 10010 (2013). [CrossRef]
  12. J. N. Kutz, SIAM Review 48, 629 (2006). [CrossRef]
  13. B. A. Malomed, Soliton Management in Periodic Systems (Springer, 2006).
  14. S. K. Turitsyn, B. G. Bale, and M. P. Fedoruk, Phys. Rep. 521, 135 (2012). [CrossRef]
  15. R. Ganapathy, Commun. Nonlinear Sci. Numer. Simul. 17, 4544 (2012). [CrossRef]
  16. Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. 83, 247 (2011). [CrossRef]
  17. J. Scheuer and M. Orenstein, J. Opt. Soc. Am. B 19, 732 (2002). [CrossRef]
  18. T. C. Hernandez, V. E. Villargan, V. N. Serkin, G. M. Aguero, T. L. Belyaeva, M. R. Peña, and L. L. Morales, Quantum Electron. 35, 778 (2005). [CrossRef]
  19. M. J. Ablowitz and J. F. Ladik, J. Math. Phys. 17, 1011 (1976). [CrossRef]
  20. A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communication (Oxford University, 2007).
  21. A. D. Boardman and K. Xie, Phys. Rev. A 50, 1851 (1994). [CrossRef]
  22. D. J. Kaup and B. A. Malomed, J. Opt. Soc. Am. B 15, 2838 (1998). [CrossRef]
  23. S. Arismar Cerqueira, Rep. Prog. Phys. 73, 024401 (2010). [CrossRef]
  24. B. Dana, L. Lobachinsky, and A. Bahabad, “Spatiotemporal coupled-mode theory in dispersive media under a dynamic modulation,” arXiv:1403.2905 (2014).
  25. G. Agrawal, Applications of Nonlinear Fiber Optics (Elsevier, 2010).
  26. C. Paré and M. Florjańczyk, Phys. Rev. A 41, 6287 (1990). [CrossRef]
  27. P. L. Chu, B. A. Malomed, and G. D. Peng, J. Opt. Soc. Am. B 10, 1379 (1993). [CrossRef]
  28. Q. Li, Y. Xie, Y. Zhu, and S. Qian, Opt. Commun. 281, 2811 (2008). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited