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: Southeast Univ, Sch Phys, Nanjing 211189, Jiangsu, Peoples R China; CSIC, Inst Opt, Serrano 121, Madrid 28006, Spain; Univ Bourgogne Franche Comte, CNRS, UMR 6303, Lab ICB, 9 Ave A Savary, F-21078 Dijon, France; Univ Brescia, CNR, INO, Via Branze 38, I-25123 Brescia, Italy; 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.

Journal/Review: PHYSICAL REVIEW LETTERS

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

More Information: This work was supported by the National Natural Science Foundation of China (Grant No. 11474051) and by the European Union under the European Unions Horizon 2020 research and innovation program MSCA-RISE-2015 (Grant No. 691051). Ph. G. was supported by the Indo-French Centre for the Promotion of Advanced Research (IFCPAR/CEFIPRA) under Contract No. 5104-2. The work of J. M. S.-C. was supported by MINECO under Contract No. TEC2015-71127-C2-1-R and by the Comunidad Autonoma de Madrid (CAM) under Contract No. S2013/MIT-2790.
KeyWords: Fokas-lenells System; Optical Rogue Waves; Schrodinger-equations; Breathers; Fibers
DOI: 10.1103/PhysRevLett.121.104101

Citations: 64
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