Wave amplification in the framework of forced nonlinear Schrödinger equation: The rogue wave context
Reads0
Chats0
TLDR
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
Citations
More filters
Journal ArticleDOI
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".
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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
More filters
Journal ArticleDOI
The modulational instability in deep water under the action of wind and dissipation
TL;DR: In this article, the modulational instability of gravity wave trains on the surface of water acted upon by wind and under influence of viscosity is considered, and the marginal curves separating stable states from unstable states are given.
Journal ArticleDOI
Nonlinear random wave field in shallow water: variable Korteweg-de Vries framework
TL;DR: In this paper, the transformation of a random wave field in shallow water of variable depth is analyzed within the framework of the variable-coefficient Korteweg-de Vries equation.
Journal ArticleDOI
Nonlinear fast growth of water waves under wind forcing
TL;DR: In this article, a coordinate transformation is defined to map the forced nonlinear Schrodinger (NLS) equation into the standard NLS with constant coefficients, that has a number of known analytical soliton solutions.
Journal ArticleDOI
Effect of the initial spectrum on the spatial evolution of statistics of unidirectional nonlinear random waves
TL;DR: In this paper, the spectrum width plays an important role in the evolution of the random wavefield and strongly affects the variation of the wave spectrum as well as the parameters that characterize the deviation of wavefield statistics from that corresponding to the Gaussian distribution.
Journal ArticleDOI
Hydrodynamic Supercontinuum
TL;DR: Experimental observation of multi-bound-soliton solutions of the nonlinear Schrödinger equation (NLS) in the context of hydrodynamic surface gravity waves and the universal role that higher-order nonlinear perturbations to the NLS play in supercontinuum generation are reported.