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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 1 — Jan. 1, 2013
  • pp: 87–94

Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift

Adrian Ankiewicz, Jose M. Soto-Crespo, M. Amdadul Chowdhury, and Nail Akhmediev  »View Author Affiliations


JOSA B, Vol. 30, Issue 1, pp. 87-94 (2013)
http://dx.doi.org/10.1364/JOSAB.30.000087


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Abstract

Rogue waves in optical fibers can be mathematically described by the nonlinear Schrödinger equation and its extensions that take into account third-order dispersion, self-steepening, and self-frequency shift. These equations are integrable in special cases such as the Sasa–Satsuma or the Hirota equations. However, approximate polynomial solutions can also be obtained in cases beyond these integrable ones. We present these solutions and confirm their validity using numerical simulations.

© 2012 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: September 12, 2012
Revised Manuscript: October 19, 2012
Manuscript Accepted: October 23, 2012
Published: December 6, 2012

Citation
Adrian Ankiewicz, Jose M. Soto-Crespo, M. Amdadul Chowdhury, and Nail Akhmediev, "Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift," J. Opt. Soc. Am. B 30, 87-94 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-1-87

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