Abstract
We study the formation of extreme events in incoherent systems described by the Nonlinear Schrödinger type of equations. We consider an exact identity that relates the evolution of the normalized fourth-order moment of the probability density function of the wave envelope to the rate of change of the width of the Fourier spectrum of the wave field. We show that, given an initial condition characterized by some distribution of the wave envelope, an increase of the spectral bandwidth in the focusing/defocusing regime leads to an increase/decrease of the probability of formation of rogue waves. Extensive numerical simulations in 1D+1 and 2D+1 are also performed to confirm the results.
Original language | English |
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Pages (from-to) | 3173-3177 |
Number of pages | 5 |
Journal | Physics Letters A |
Volume | 380 |
Issue number | 39 |
Early online date | 26 Jul 2016 |
DOIs | |
Publication status | Published - 16 Sep 2016 |
Keywords
- Rogue waves
- Freak waves
- Nonlinear Schrödinger
Profiles
-
Davide Proment
- School of Engineering, Mathematics and Physics - Associate Professor in Applied Mathematics
- Centre for Photonics and Quantum Science - Member
- Numerical Simulation, Statistics & Data Science - Member
- Quantum Matter - Member
Person: Research Group Member, Academic, Teaching & Research