Baseband modulation instability as the origin of rogue waves
By F. Baronio, Shihua Chen, Philippe Grelu, Stefan Wabnitz, M. Conforti. 2015
171 citations recorded by the source corpus.
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 Schr\"odinger equation, and the long-wave\char21{}short-wave 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.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a37d2e5e2e99ef57d48eb273658ff420085541e6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Statistical and Nonlinear Physics
- John M. Dudley
- Goëry Genty
- Miro Erkintalo
- Nail Akhmediev
- S. Residori
- Fortunato Tito Arecchi
- U. Bortolozzo
- Arnaud Mussot
Citations in the corpus
- Roadmap on optical rogue waves and extreme events (2016, background): “Here, we highlight recent original contributions on the existence and properties of rogue waves in fundamental multi-component models, in particular in the VNLSE, TWRI, LWSW, and MTM models.”