Titre :

Baseband modulation instability as the origin of rogue waves

Auteur(s) :

Baronio, Fabio [Auteur]
Dipartimento di Ingegneria dell'Informazione [Brescia]
Chen, Shihua [Auteur]
Nanjing Southeast University [SEU]
Grelu, Philippe [Auteur]
Laboratoire Interdisciplinaire Carnot de Bourgogne [ICB]
Wabnitz, Stefan [Auteur]
Department of Information Engineering [Brescia]
Conforti, Matteo [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

Titre de la revue :

Physical Review A : Atomic, molecular, and optical physics [1990-2015]

Éditeur :

American Physical Society

Date de publication :

2015-03

ISSN :

1050-2947

Discipline(s) HAL :

Physique [physics]/Physique [physics]/Optique [physics.optics]
Science non linéaire [physics]/Formation de Structures et Solitons [nlin.PS]

Résumé en anglais : [en]

We study the existence and properties of rogue-wave solutions in different nonlinear wave evolution models that are commonly used in optics and hydrodynamics. In particular, we consider the Fokas-Lenells equation, the ...
Lire la suite >We study the existence and properties of rogue-wave solutions in different nonlinear wave evolution models that are commonly used in optics and hydrodynamics. In particular, we consider the Fokas-Lenells equation, the defocusing vector nonlinear Schrödinger equation, and the long-wave-shortwave resonance equation. We show that rogue-wave solutions in all of these models exist in the subset of parameters where modulation instability is present if and only if the unstable sideband spectrum also contains cw or zero-frequency perturbations as a limiting case (baseband instability). We numerically confirm that rogue waves may only be excited from a weakly perturbed cw whenever the baseband instability is present. Conversely, modulation instability leads to nonlinear periodic oscillations.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL