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

Shihua Chen, Fabio Baronio, Jose M. Soto-Crespo, Yi Liu, Philippe Grelu
2016 Physical review. E  
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
more » ... rp 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.
doi:10.1103/physreve.93.062202 pmid:27415250 fatcat:mgjaugyyfza2lm5fsyahr46bhy