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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Journal ArticleDOI
Rogue waves and their generating mechanisms in different physical contexts
TL;DR: In this paper, the authors introduce the concept of rogue waves, which is the name given by oceanographers to isolated large amplitude waves, that occur more frequently than expected for normal, Gaussian distributed, statistical events.
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Oceanic Rogue Waves
TL;DR: In most circumstances, the properties of rogue waves and their probability of occurrence appear to be consistent with second-order random-wave theory as mentioned in this paper, although it is unclear whether these represent measurement errors or statistical flukes, or are caused by physical mechanisms not covered by the model.
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Nonlinear Four-Wave Interactions and Freak Waves
TL;DR: The theory of homogeneous four-wave interactions, extended to include effects of nonresonant transfer, compares favorably with the ensemble-averaged results of the Monte Carlo simulations as discussed by the authors.