OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 18, Iss. 8 — Aug. 1, 2001
  • pp: 1150–1155

Hamiltonian dynamics of breathers with third-order dispersion

Shayan Mookherjea and Amnon Yariv  »View Author Affiliations

JOSA B, Vol. 18, Issue 8, pp. 1150-1155 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (155 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a nonperturbative analysis of certain dynamical aspects of breathers (dispersion-managed solitons) including the effects of third-order dispersion. The analysis highlights the similarities to and differences from the well-known analogous procedures for second-order dispersion. We discuss in detail the phase-space evolution of breathers in dispersion-managed systems in the presence of third-order dispersion.

© 2001 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

Shayan Mookherjea and Amnon Yariv, "Hamiltonian dynamics of breathers with third-order dispersion," J. Opt. Soc. Am. B 18, 1150-1155 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, “Hamiltonian dynamics of dispersion managed breathers,” J. Opt. Soc. Am. B 15, 87–96 (1998). [CrossRef]
  2. T. I. Lakoba and G. P. Agrawal, “Effects of third-order dispersion on dispersion-managed solitons,” J. Opt. Soc. Am. B 16, 1332–1343 (1999). [CrossRef]
  3. H. Ghafouri-Shiraz, P. Shum, and M. Nagata, “A novel method for analysis of soliton propagation in optical fibers,” IEEE J. Quantum Electron. 31, 190–200 (1995). [CrossRef]
  4. T. I. Lakoba, “Non-integrability of equations governing pulse propagation in dispersion-managed optical fibers,” Phys. Lett. A 260, 68–77 (1999). [CrossRef]
  5. N. Akhmediev and M. Karlsson, “Cherenkov radiation emited by solitons in optical fibers,” Phys. Rev. A 51, 2602–2607 (1995). [CrossRef] [PubMed]
  6. I. M. Uzunov, M. Gölles, and F. Lederer, “Soliton interaction near the zero-dispersion wavelength,” Phys. Rev. E 52, 1059–1071 (1995). [CrossRef]
  7. D. Anderson, “Variational approach to nonlinear pulse propagation in optical fibers,” Phys. Rev. A 27, 3135–3145 (1983). [CrossRef]
  8. G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1989).
  9. T. Inoue, H. Suguhara, A. Maruta, and Y. Kodama, “Interactions between dispersion-managed solitons in optical time-division-multiplexed system,” IEEE Photonics Technol. Lett. 12, 299–301 (2000). [CrossRef]
  10. F. A. Scheck, Mechanics: From Newton’s Laws to Deterministic Chaos, 3rd. ed. (Springer, New York, 1999).
  11. P. Holmes and J. N. Kutz, “Dynamics and bifurcations of a planar map modeling dispersion managed breathers,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 59, 1288–1302 (1999). [CrossRef]
  12. J. Kurnasako, M. Matsumoto, and S. Waiyapot, “Linear stability analysis of dispersion-managed solitons controlled by filters,” J. Lightwave Technol. 18, 1064–1068 (2000). [CrossRef]
  13. F. Verhulst, Nonlinear Differential Equations and Dynamical Systems (Springer, New York, 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 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited