Fundamental Peregrine Solitons of Ultrastrong Amplitude Enhancement through Self-Steepening in Vector Nonlinear Systems

Year: 2020

Authors: Chen S., Pan CC., Grelu P., Baronio F., Akhmediev N.

Autors Affiliation: Southeast Univ, Sch Phys, Nanjing 211189, Peoples R China; Univ Bourgogne Franche Comte, Lab ICB, UMR 6303, CNRS, 9 Ave A Savary, F-21078 Dijon, France; Univ Brescia, INO CNR, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; Australian Natl Univ, Res Sch Phys, Dept Theoret Phys, Canberra, ACT 2600, Australia.

Abstract: We report the universal emergence of anomalous fundamental Peregrine solitons, which can exhibit an unprecedentedly ultrahigh peak amplitude comparable to any higher-order rogue wave events, in the vector derivative nonlinear Schrodinger system involving the self-steepening effect. We present the exact explicit rational solutions on either a continuous-wave or a periodical-wave background, for a broad range of parameters. We numerically confirm the buildup of anomalous Peregrine solitons from strong initial harmonic perturbations, despite the onset of competing modulation instability. Our results may stimulate the experimental study of such Peregrine soliton anomaly in birefringent crystals or other similar vector systems.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 124 (11)      Pages from: 113901-1  to: 113901-7

More Information: This work was supported by the National Natural Science Foundation of China (Grants No. 11474051 and No. 11974075) and by the European Union under the European Unions Horizon 2020 research and innovation program MSCA-RISE-2015 (Grant No. 691051). Ph. G. acknowledges support from the Engineering and Innovation through Physical Sciences, High-technologies, and Cross-disciplinary research (EIPHI) Graduate School (Contract No. ANR-17-EURE-0002). The authors also thank John M. Dudley and Stefan Wabnitz for stimulating discussions regarding the fundamental model.
KeyWords: Rogue Waves; Phase; Generation; Pulses
DOI: 10.1103/PhysRevLett.124.113901

ImpactFactor: 9.161
Citations: 43
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