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

Ankiewicz, Adrian; Soto-Crespo, Jose M.; Chowdhury, M. Amdadul; Akhmediev, Nail

Description

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.

CollectionsANU Research Publications
Date published: 2013-01
Type: Journal article
URI: http://hdl.handle.net/1885/12270
Source: Journal of the Optical Society of America B 30.1 (2013): 87-94
DOI: 10.1364/JOSAB.30.000087

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