Instability and noise-induced thermalization of Fermi-Pasta-Ulam recurrence in the nonlinear Schrödinger equation

Year: 2014

Authors: Wabnitz S., Wetzel B.

Autors Affiliation: Dipartimento di Ingegneria dell\’Informazione, Università Degli Studi di Brescia, via Branze 38, Brescia, 25123, Italy; INRS-EMT, 1650 Blvd. Lionel-Boulet, Varennes, QC J3X 1S2, Canada

Abstract: We investigate the spontaneous growth of noise that accompanies the nonlinear evolution of seeded modulation instability into Fermi-Pasta-Ulam recurrence. Results from the Floquet linear stability analysis of periodic solutions of the three-wave truncation are compared with full numerical solutions of the nonlinear Schrödinger equation. The predicted initial stage of noise growth is in a good agreement with simulations, and is expected to provide further insight into the subsequent dynamics of the field evolution after recurrence breakup. ©2014 Elsevier B.V. All rights reserved.


Volume: 378 (37)      Pages from: 2750  to: 2756

More Information: Stimulating discussions with C. Finot, B. Kibler, G. Millot, J.M. Dudley and S. Trillo are gratefully acknowledged. The present research was supported by Fondazione Cariplo , grant No. 2011-0395 , and the Italian Ministry of University and Research ( MIUR ) (grant contract 2012BFNWZ2 ).
KeyWords: Fluid Mechanics; Nonlinear optics; Nonlinear waves; Optical fibers
DOI: 10.1016/j.physleta.2014.07.018

Citations: 23
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