Deterministic aspects of Nonlinear Modulation Instability

Embrecht W.C. van Groesen, A. Andonowati, N. Karjanto

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    Abstract

    Different from statistical considerations on stochastic wave fields, this paper aims to contribute to the understanding of (some of) the underlying physical phenomena that may give rise to the occurence of extreme, rogue, waves. To that end a specific deterministic wavefield is investigated that develops extreme waves from a uniform background. For this explicitly described nonlinear extension of the Benjamin-Feir in- stability, the soliton on finite background of the NLS equation, the global down-stream evolving distortions, the time signal of the extreme waves, and the local evolution near the extreme position are investigated. As part of the search for conditions to obtain extreme waves, we show that the extreme wave has a specific optimization property for the physical energy, and comment on the possible validity for more realistic situations.
    Original languageUndefined
    Title of host publicationproceedings `Rougue Waves 2004"
    Place of PublicationBrest, France
    Pages-
    Publication statusPublished - 2005

    Keywords

    • METIS-226025
    • IR-53378

    Cite this

    van Groesen, E. W. C., Andonowati, A., & Karjanto, N. (2005). Deterministic aspects of Nonlinear Modulation Instability. In proceedings `Rougue Waves 2004" (pp. -). Brest, France.