Scientific Results

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.

Journal/Review: PHYSICS LETTERS A

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: 22
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-01-23
References taken from IsiWeb of Knowledge: (subscribers only)
Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here

gdpr-image
This site uses cookies. If you decide to continue browsing we consider that you accept their use. For more information about cookies and how to delete them please read our Info Policy on cookies use.
Read more