posted on 2016-08-04, 10:29authored byMiguel Onorato, Davide Proment, Gennady El, Stephane Randoux, Pierre Suret
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.
History
School
Science
Department
Mathematical Sciences
Published in
Physics Letters Section A: General, Atomic and Solid State Physics
Citation
ONORATO, M. ...et al., 2016. On the origin of heavy-tail statistics in equations of the Nonlinear Schrodinger type. Physics Letters A, 380 (39), pp.3173-3177.
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Acceptance date
2016-07-20
Publication date
2016-07-26
Notes
This paper was accepted for publication in the journal Physics Letters A and the definitive published version is available at http://dx.doi.org/10.1016/j.physleta.2016.07.048.