title: Chirped Peregrine solitons in a class of cubic-quintic nonlinear Schrödinger equations.
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 Schrödinger 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.
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.|Laboratoire d'Optique Appliquée, ENSTA ParisTech, CNRS, Ecole Polytechnique, 828 Boulevard des Maréchaux, 91762 Palaiseau Cedex, France.
authors.forename: Shihua
authors.initials: S
authors.lastname: Chen
authors.affiliation: INO CNR and Dipartimento di Ingegneria dell'Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy.
authors.forename: Fabio
authors.initials: F
authors.lastname: Baronio
authors.affiliation: Instituto de Óptica, Consejo Superior de Investigaciones Científicas, Serrano 121, Madrid 28006, Spain.
authors.forename: Jose M
authors.initials: JM
authors.lastname: Soto-Crespo
authors.affiliation: Laboratoire d'Optique Appliquée, ENSTA ParisTech, CNRS, Ecole Polytechnique, 828 Boulevard des Maréchaux, 91762 Palaiseau Cedex, France.
authors.forename: Yi
authors.initials: Y
authors.lastname: Liu
authors.affiliation: Laboratoire ICB, UMR No. 6303, CNRS, Université Bourgogne Franche-Comté, 9 Avenue A. Savary, F-21078 Dijon, France.
authors.forename: Philippe
authors.initials: P
authors.lastname: Grelu