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Twenty years of progresses in oceanic rogue waves: the role played by weakly nonlinear models

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  • Miguel Onorato

    (Università degli Studi di Torino)

  • Pierre Suret

    (Université de Lille, UMR-CNRS 8523)

Abstract

Here we discuss some of the progresses that have been made in the last 20 years in the field of oceanic rogue waves, focusing on the role played by leading order equations such as the nonlinear Schrödinger and the Korteweg-De Vries equations. For such equations, it is possible, as shown in Onorato et al. (Origin of heavy tail statistics in equations of the nonlinear Schrödinger type: an exact result, 2016. arXiv:1601.04317), to derive a very simple relation in which the variation of the third (for the KdV) and fourth (for the NLS) moment of the probability density function of the wave field can be related to the variation of the spectral bandwidth. These relations give some new perspectives on the formation of rogue waves in a random sea state.

Suggested Citation

  • Miguel Onorato & Pierre Suret, 2016. "Twenty years of progresses in oceanic rogue waves: the role played by weakly nonlinear models," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 84(2), pages 541-548, November.
    • Handle: RePEc:spr:nathaz:v:84:y:2016:i:2:d:10.1007_s11069-016-2449-z
    DOI: 10.1007/s11069-016-2449-z
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    References listed on IDEAS

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    1. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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    Cited by:

    1. Gabriel García-Medina & H. Tuba Özkan-Haller & Peter Ruggiero & Rob A. Holman & Troy Nicolini, 2018. "Analysis and catalogue of sneaker waves in the US Pacific Northwest between 2005 and 2017," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 94(2), pages 583-603, November.

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