On steady weakly nonlinear wave envelopes in deep water

M. Magnani, M Onorato, D. Gunn, M. Rudman, B Kibler, Nail Akhmediev, Takuji Waseda, Amin Chabchoub

    Research output: Contribution to conferencePaperpeer-review

    Abstract

    The dynamics of weakly nonlinear wave packets in deep water can be for instance described by the nonlinear Schrodinger equation (NLS). As a deterministic and inte- ¨ grable evolution equation, the NLS enables to determine exact initial or boundary conditions to study the weakly nonlinear motion of a wave packet of interest. Among a vast family of solutions, we will focus our attention on the hydrodynamics of stationary deep water wave packets. The latter can be for instance described by means of hyperbolic or elliptic functions (sech, cnoidal & dnoidal expressions). Experiments have been conducted in different uni-directional wave facilities in order to validate the weakly nonlinear approach. The experimental wave profiles show a very good agreement with NLS predictions for various wave steepness values. The generic effect of wave dissipation in the considered framework will be discussed as well.
    Original languageEnglish
    Publication statusPublished - 2018
    Event21st Australasian Fluid Mechanics Conference 2018 - Adelaide, Australia, Australia
    Duration: 1 Jan 2018 → …

    Conference

    Conference21st Australasian Fluid Mechanics Conference 2018
    Country/TerritoryAustralia
    Period1/01/18 → …
    OtherDec 10-13 2018

    Fingerprint

    Dive into the research topics of 'On steady weakly nonlinear wave envelopes in deep water'. Together they form a unique fingerprint.

    Cite this