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.


Volume: 124 (11)      Pages from: 113901  to: 113901

DOI: 10.1103/PhysRevLett.124.113901

Citations: 21
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