Chirped Peregrine solitons in a class of cubic-quintic nonlinear Schr¨odinger equations

Shihua Chen (1, 2) , Fabio Baronio (3) , Jose M. Soto-Crespo (4) , Yi Liu (1) , Philippe Grelu (5)

1 LOA - Laboratoire d'optique appliquée
2 Department of Physics,
3 INO - Istituto Nazionale di Ottica
4 Instituto de Óptica
5 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne

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 Schr¨odinger 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.

Mots clés: soliton

Domaines: Optique [physics.optics]

Shihua Chen, Fabio Baronio, Jose M. Soto-Crespo, Yi Liu, Philippe Grelu. Chirped Peregrine solitons in a class of cubic-quintic nonlinear Schr¨odinger equations. Physical Review E , 2016, 93, pp.062202. ⟨10.1103/PhysRevE.93.062202⟩. ⟨hal-01331677⟩