Peregrine Solitons Beyond the Threefold Limit and Their Two-Soliton Interactions

Year: 2018

Authors: Chen SH., Ye YL., Soto-Crespo JM., Grelu P., Baronio F.

Autors Affiliation: [Chen, Shihua; Ye, Yanlin] Southeast Univ, Sch Phys, Nanjing 211189, Jiangsu, Peoples R China.
[Soto-Crespo, Jose M.] CSIC, Inst Opt, Serrano 121, Madrid 28006, Spain.
[Grelu, Philippe] Univ Bourgogne Franche Comte, CNRS, UMR 6303, Lab ICB, 9 Ave A Savary, F-21078 Dijon, France.
[Baronio, Fabio] CNR, INO, Via Branze 38, I-25123 Brescia, Italy and Univ Brescia, DII, Via Branze 38, I-25123 Brescia, Italy.

Abstract: Within the coupled Fokas-Lenells equations framework, we show explicitly that, in contrast to the expected threefold-amplitude magnification, Peregrine solitons can reach a peak amplitude as high as 5 times the background level. Besides, the interaction of two such anomalous Peregrine solitons can generate a spikelike rogue wave of extremely high peak amplitude, depending on the parameters used. We numerically confirm that the Peregrine soliton beyond the threefold limit can be reproduced from either a deterministic initial profile or a chaotic background field, hence anticipating the feasibility of its experimental observation.


Volume: 121 (10)      Pages from: 104101-1  to: 104101-6

KeyWords: Fokas-Lenells system; optical rogue waves; Schrodinger-equations; breathers; fiber
DOI: 10.1103/PhysRevLett.121.104101

Citations: 41
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