Wave amplification in the framework of forced nonlinear Schrödinger equation: The rogue wave context
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In this paper, it is shown that the adiabatically slow pumping (the time scale of forcing is much longer than the nonlinear time scale) results in selective enhancement of the solitary part of the wave ensemble.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 2015-05-15 and is currently open access. It has received 41 citations till now. The article focuses on the topics: Nonlinear Schrödinger equation & Rogue wave.read more
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Roadmap on optical rogue waves and extreme events
Nail Akhmediev,Bertrand Kibler,Fabio Baronio,Milivoj R. Belic,Wei-Ping Zhong,Yiqi Zhang,Wonkeun Chang,Jose M. Soto-Crespo,Peter Vouzas,Philippe Grelu,Caroline Lecaplain,Kamal Hammani,Sergio Rica,Antonio Picozzi,Mustapha Tlidi,Krassimir Panajotov,Arnaud Mussot,Abdelkrim Bendahmane,Pascal Szriftgiser,Goëry Genty,John M. Dudley,Alexandre Kudlinski,Ayhan Demircan,Uwe Morgner,Shalva Amiraranashvili,Carsten Brée,G. Steinmeyer,Cristina Masoller,Neil G. R. Broderick,Antoine F. J. Runge,Miro Erkintalo,Stefania Residori,Umberto Bortolozzo,F. T. Arecchi,Stefan Wabnitz,C.G.L. Tiofack,Saliya Coulibaly,Majid Taki +37 more
TL;DR: The concept of optical rogue wave was introduced by Solli et al. as discussed by the authors, who defined it as "an optical pulse whose amplitude or intensity is much higher than that of the surrounding pulses".
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Nonlinear stage of Benjamin-Feir instability in forced/damped deep-water waves
TL;DR: In this paper, a three-wave truncation of a damped/forced high-order nonlinear Schrodinger equation for deep-water gravity waves under the effect of wind and viscosity was studied.
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Rogue events in spatio-temporal numerical simulations of unidirectional waves in basins of different depth
Alexey Slunyaev,Alexey Slunyaev,Anna Sergeeva,Anna Sergeeva,Ira Didenkulova,Ira Didenkulova,Ira Didenkulova +6 more
TL;DR: In this paper, the evolution of unidirectional nonlinear sea surface waves is calculated numerically by means of solution of the Euler equations, and wave dynamics correspond to quasi-equilibrium states characterized by JONSWAP spectra.
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Analysis of the Nonlinear Spectrum of Intense Sea Wave with the Purpose of Extreme Wave Prediction
TL;DR: In this paper, a method for the analysis of groups of unidirectional waves on the surface of deep water, which is based on spectral data of the scattering problem in the approximation of a nonlinear Schrodinger equation, is proposed.
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Localized instabilities of the Wigner equation as a model for the emergence of Rogue Waves
Agissilaos Athanassoulis,Gerassimos A. Athanassoulis,Gerassimos A. Athanassoulis,Themistoklis P. Sapsis +3 more
TL;DR: In this paper, the Wigner transform and the Penrose condition are used to recover spatially periodic unstable wave modes, which are called unstable Penrose modes, and their parameters are obtained by resolving the penrose condition, a system of nonlinear equations involving P(k).
References
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Extreme wave events in directional, random oceanic sea states
TL;DR: In this article, the effect of the directional spreading on the occurrence of extreme wave events is discussed, and it is shown that by increasing the directionality of the initial spectrum the appearance of extreme events is reduced.
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Extreme Wave Events in Directional, Random Oceanic Sea States
TL;DR: In this article, the effects of the directional spreading on the occurrence of extreme wave events are discussed, and it is shown that by increasing the directionality of the initial spectrum the appearance of extreme events is notably reduced.
Journal ArticleDOI
Influence of crest and group length on the occurrence of freak waves
Odin Gramstad,Karsten Trulsen +1 more
TL;DR: In this paper, a large number of simulations have been performed to reveal how the occurrence of freak waves on deep water depends on the group and crest lengths for fixed steepness, and it is found that there is a sharp qualitative transition between short and long-crested sea, for a crest length of approximately ten wavelengths.
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Influence of wind on extreme wave events : experimental and numerical approaches
TL;DR: The influence of wind on extreme wave events in deep water is investigated experimentally and numerically as discussed by the authors, and it is found that wind blowing over a short wave group due to the dispersive focusing of a longer frequency-modulated wavetrain (chirped wave packet) may increase the time duration of the extreme wave event by delaying the defocusing stage.
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On the Estimation of the Kurtosis in Directional Sea States for Freak Wave Forecasting
TL;DR: In this article, the dependence of the kurtosis on the directional energy distribution of the initial conditions is examined based on Monte Carlosimulationsof the nonlinear Schrodingerequation in two horizontal dimensions.