Modulation Instability and Phase-Shifted Fermi-Pasta-Ulam Recurrence

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Title: Modulation Instability and Phase-Shifted Fermi-Pasta-Ulam Recurrence
Authors: Kelleher, EJR
Kimmoun, O
Hsu, HC
Branger, H
Li, MS
Chen, YY
Kharif, C
Onorato, M
Kibler, B
Akhmediev, N
Chabchoub, A
Item Type: Journal Article
Abstract: Instabilities are common phenomena frequently observed in nature, sometimes leading to unexpected catastrophes and disasters in seemingly normal conditions. One prominent form of instability in a distributed system is its response to a harmonic modulation. Such instability has special names in various branches of physics and is generally known as modulation instability (MI). The MI leads to a growth-decay cycle of unstable waves and is therefore related to Fermi-Pasta-Ulam (FPU) recurrence since breather solutions of the nonlinear Schrödinger equation (NLSE) are known to accurately describe growth and decay of modulationally unstable waves in conservative systems. Here, we report theoretical, numerical and experimental evidence of the efect of dissipation on FPU cycles in a super wave tank, namely their shift in a determined order. In showing that ideal NLSE breather solutions can describe such dissipative nonlinear dynamics, our results may impact the interpretation of a wide range of new physics scenarios.
Issue Date: 20-Jul-2016
Date of Acceptance: 20-May-2016
ISSN: 2045-2322
Publisher: Nature Publishing Group
Journal / Book Title: Scientific Reports
Volume: 6
Copyright Statement: This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit
Publication Status: Published
Article Number: 28516
Appears in Collections:Physics
Faculty of Natural Sciences

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