Open AccessRogue-wave bullets in a composite (2+1)D nonlinear medium
Author(s) -
Shihua Chen,
J. M. Soto-Crespo,
Fabio Baronio,
Philippe Grelu,
Dumitru Mihalache
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.015251
Subject(s) - rogue wave , physics , wave packet , nonlinear system , integrable system , instability , quantum , nonlinear schrödinger equation , noise (video) , modulation (music) , wave equation , quantum mechanics , dimension (graph theory) , optics , classical mechanics , mathematical physics , acoustics , mathematics , image (mathematics) , artificial intelligence , computer science , pure mathematics
We show that nonlinear wave packets localized in two dimensions with characteristic rogue wave profiles can propagate in a third dimension with significant stability. This unique behavior makes these waves analogous to light bullets, with the additional feature that they propagate on a finite background. Bulletlike rogue-wave singlet and triplet are derived analytically from a composite (2+1)D nonlinear wave equation. The latter can be interpreted as the combination of two integrable (1+1)D models expressed in different dimensions, namely, the Hirota equation and the complex modified Korteweg-de Vries equation. Numerical simulations confirm that the generation of rogue-wave bullets can be observed in the presence of spontaneous modulation instability activated by quantum noise.