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Freak wave events and the wave phase coherence

Article

Abstract.

In this paper we demonstrate the strong correlation in the spectrum area close to the spectral peak in cases when the Benjamin-Feir instability causes intense wave groups of unidirectional deep-water surface waves referred to freak events. A simple phase coherence estimator in the form of an autobicorrelation function is suggested and tested on the basis of the results of numerical simulations within different frameworks, including the primitive Euler equations. The correlation reaches the value of a unity, and, thus, the random phase approximation is definitely violated for these waves.

Keywords

Soliton European Physical Journal Special Topic Rogue Wave Wave Group Steep Wave 
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Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Institute of Applied Physics, RASNizhny NovgorodRussia

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