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; Nail Akhmediev

doi:10.1364/JOSAB.30.000087

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, Nail Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

75 Citations (Scopus)

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.

Original language	English
Pages (from-to)	87-94
Number of pages	8
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	30
Issue number	1
DOIs	https://doi.org/10.1364/JOSAB.30.000087
Publication status	Published - Jan 2013

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abstract = "Rogue waves in optical fibers can be mathematically described by the nonlinear Schr{\"o}dinger 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.",

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AU - Ankiewicz, Adrian

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AU - Chowdhury, M. Amdadul

AU - Akhmediev, Nail

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Y1 - 2013/1

N2 - 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.

AB - 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.

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DO - 10.1364/JOSAB.30.000087

M3 - Article

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JF - Journal of the Optical Society of America B: Optical Physics

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

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