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