Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime
Exactly Solvable and Integrable Systems
2014-07-23 v1 Pattern Formation and Solitons
Fluid Dynamics
Optics
Abstract
We report and discuss analytical solutions of the vector nonlinear Schr\"odinger equation that describe rogue waves in the defocusing regime. This family of solutions includes bright-dark and dark-dark rogue waves. The link between modulational instability (MI) and rogue waves is displayed by showing that only a peculiar kind of MI, namely baseband MI, can sustain rogue wave formation. The existence of vector rogue waves in the defocusing regime is expected to be a crucial progress in explaining extreme waves in a variety of physical scenarios described by multi-component systems, from oceanography to optics and plasma physics.
Keywords
Cite
@article{arxiv.1403.3802,
title = {Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime},
author = {Fabio Baronio and Matteo Conforti and Antonio Degasperis and Sara Lombardo and Miguel Onorato and Stefan Wabnitz},
journal= {arXiv preprint arXiv:1403.3802},
year = {2014}
}