Chirped Peregrine solitons in a class of cubic-quintic nonlinear Schrodinger equations

Year: 2016

Authors: Chen SH., Baronio F., Soto-Crespo JM., Liu Yi., Grelu P.

Autors Affiliation: Southeast Univ, Dept Phys, Nanjing 211189, Jiangsu, Peoples R China; Ecole Polytech, CNRS, ENSTA ParisTech, Lab Opt Appl, 828 Blvd Marechaux, F-91762 Palaiseau, France; Univ Brescia, CNR, INO, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; CSIC, Inst Opt, Serrano 121, E-28006 Madrid, Spain; Univ Bourgogne Franche Comte, CNRS, Lab ICB, UMR 6303, 9 Ave A Savary, F-21078 Dijon, France.

Abstract: We shed light on the fundamental form of the Peregrine soliton as well as on its frequency chirping property by virtue of a pertinent cubic-quintic nonlinear Schrodinger equation. An exact generic Peregrine soliton solution is obtained via a simple gauge transformation, which unifies the recently-most-studied fundamental rogue-wave species. We discover that this type of Peregrine soliton, viable for both the focusing and defocusing Kerr nonlinearities, could exhibit an extra doubly localized chirp while keeping the characteristic intensity features of the original Peregrine soliton, hence the term chirped Peregrine soliton. The existence of chirped Peregrine solitons in a self-defocusing nonlinear medium may be attributed to the presence of self-steepening effect when the latter is not balanced out by the third-order dispersion. We numerically confirm the robustness of such chirped Peregrine solitons in spite of the onset of modulation instability.

Journal/Review: PHYSICAL REVIEW E

Volume: 93 (6)      Pages from: 62202-1  to: 62202-8

More Information: We thank Andre Mysyrowicz and Bernard Prade from LOA for helpful discussions. This work was supported by the National Natural Science Foundation of China (Grants No. 11174050 and No. 11474051) and by the Italian Ministry of University and Research (MIUR, Project No. 2012BFNWZ2). P.G. was supported by the Agence Nationale de la Recherche (Project No. ANR-2012-BS04-0011). The work of J.M.S.-C. was supported by MINECO under Contract No. TEC2015-71127-C2-1-R, by CAM under Contract No. S2013/MIT-2790, and by the Volkswagen Foundation.
KeyWords: Rogue Waves; Toluene Sulfonate; Systems; Optics; Fiber
DOI: 10.1103/PhysRevE.93.062202

Citations: 50
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