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Experiments on Spontaneous Modulation Instability in Hydrodynamics

  • Amin Chabchoub
  • , Goëry Genty
  • , John M. Dudley
  • , Bertrand Kibler
  • , Takuji Waseda

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

    7 Citations (Scopus)

    Abstract

    Modulation instability describes the exponential amplification of a weak perturbation on top of a plane wave background and it has been extensively studied in the context of weakly nonlinear evolution equations such as the nonlinear Schrödinger equation (NLSE). It has been further suggested as a possible generation mechanism of rogue waves in the oceans. Here, we report on an experimental laboratory study in which the modulation instability dynamics have been seeded by random noise, added to a Stokes wave. Similarly to experiments recently performed in Optics, we show that the development of such spontaneous modulation instability in a water wave tank leads to the emergence of highly localized structures that can be interpreted as analytical NLSE breathers. Numerical simulations show very good qualitative agreement with the laboratory experiments.
    Original languageEnglish
    Title of host publicationThe Proceedings of the Twenty-seventh (2017) International Ocean and Polar Engineering Conference
    PublisherInternational Society of Offshore and Polar Engineers
    ISBN (Electronic)978-1-880653-97-5
    Publication statusPublished - 2017
    Publication typeA4 Article in conference proceedings
    EventInternational Ocean and Polar Engineering Conference -
    Duration: 1 Jan 2000 → …

    Publication series

    NameThe proceedings of the International Offshore and Polar Engineering Conference
    PublisherISOPE
    ISSN (Print)1098-6189
    ISSN (Electronic)1555-1792

    Conference

    ConferenceInternational Ocean and Polar Engineering Conference
    Period1/01/00 → …

    Publication forum classification

    • Publication forum level 1

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