Peregrine breather revisited

Shemer, Lev; Alperovich, L.

doi:10.1063/1.4807055

Cited by 86 publications

(75 citation statements)

References 30 publications

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“…Inspired by the work in oceanography, the concept of rogue wave has been developed in various optical systems [16][17][18][19][20][21][22][23][24][25][26][27][28][29], starting from the work in [30]. Experiments have also been performed in order to generate exact solutions of the NLSE in optical fibers and water wave tanks [31][32][33][34][35][36]. These observations have been of fundamental significance for establishing the bases of a potential bridge between the fields of optics and hydrodynamics (see also [37,38] for a detailed comparison between the NLSE in optics and hydrodynamics).…”

Section: Introductionmentioning

confidence: 99%

Spontaneous emergence of rogue waves in partially coherent waves: A quantitative experimental comparison between hydrodynamics and optics

et al. 2018

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Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical properties of an incoherent wave field. Their understanding is fundamental for the design of ships and offshore platforms. Except for very particular meteorological conditions, waves in the ocean are characterised by the so-called JONSWAP (Joint North Sea Wave Project) spectrum. Here we compare two unique experimental results: the first one has been performed in a 270-meter wave tank and the other in optical fibers. In both cases, waves characterised by a JONSWAP spectrum and random Fourier phases have been launched at the input of the experimental device. The quantitative comparison, based on an appropriate scaling of the two experiments, shows a very good agreement between the statistics in hydrodynamics and optics. Spontaneous emergence of heavy tails in the probability density function of the wave amplitude is observed in both systems. The results demonstrate the universal features of rogue waves and provide a fundamental and explicit bridge between two important fields of research. Numerical simulations are also compared with experimental results.

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Section: Introductionmentioning

confidence: 99%

Spontaneous emergence of rogue waves in partially coherent waves: A quantitative experimental comparison between hydrodynamics and optics

et al. 2018

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“…For example, Shemer and Alperovich [10] successfully generated a rogue wave modelled by using PB in a physical wave tank and satisfactory agreement was obtained by comparing the results with that by using numerical simulation based on the NLSE and Dysthe equation. Chabchoub, et al [11] also reproduced a rogue wave based on the PB in laboratory and found the results agreed very well with the theoretical solution.…”

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confidence: 89%

“…To deal with that, FFT is applied to Eq. (10). Then the resulted information of frequency, amplitude and phase, in addition to that of the RBW in Eq.…”

Section: Fig 1 Configuration Of the Numerical Wave Tankmentioning

confidence: 99%

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Breather Rogue Waves in Random Seas

Wang

Yan

et al. 2018

Phys. Rev. Applied

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Rogue waves are widely recognized as great threats to human oceanic activities. The effectiveness of using the Peregrine breather to model rogue waves has been successfully demonstrated in both numerical and physical wave tank. Additionally, its persistence in random seas has been confirmed in some cases, so that it can also be employed to model rogue waves in random seas. However, based on the results obtained by using the fully nonlinear numerical simulations in this paper, it is reported that the persistence of the Peregrine breather will be affected by the nonlinearities of the random seas, i.e., the spectral bandwidth and the background wave steepness. The investigation on the effects of the two parameters indicates that the Peregrine breather cannot persist thus may not be employed to model rogue waves in random seas in some cases. This paper provides knowledge about how to select background wave parameters, in order to model rogue waves by using the Peregrine breather, which can help saving significant time for designing the experiments. Permanent repository link

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“…Intensive research efforts are conducted to understand the physics of rogue wave and to develop measures to predict or detect such waves [4,5]. Although rogue waves originate from the context of water waves [1][2][3][6][7][8][9], these studies have been extended to other physical contexts like optical fibers [10][11][12] and Bose-Einstein condensates [13]. Moreover, it has been demonstrated that optical rogue waves are related to supercontinuum generation [10,11].…”

Section: Introductionmentioning

confidence: 99%

Rogue Wave Modes for the Coupled Nonlinear Schrödinger System with Three Components: A Computational Study

Chan¹,

Chow²

2017

Applied Sciences

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Abstract:The system of "integrable" coupled nonlinear Schrödinger equations (Manakov system) with three components in the defocusing regime is considered. Rogue wave solutions exist for a restricted range of group velocity mismatch, and the existence condition correlates precisely with the onset of baseband modulation instability. This assertion is further elucidated numerically by evidence based on the generation of rogue waves by a single mode disturbance with a small frequency. This same computational approach can be adopted to study coupled nonlinear Schrödinger equations for the "non-integrable" regime, where the coefficients of self-phase modulation and cross-phase modulation are different from each other. Starting with a wavy disturbance of a finite frequency corresponding to the large modulation instability growth rate, a breather can be generated. The breather can be symmetric or asymmetric depending on the magnitude of the growth rate. Under the presence of a third mode, rogue wave can exist under a larger group velocity mismatch between the components as compared to the two-component system. Furthermore, the nonlinear coupling can enhance the maximum amplitude of the rogue wave modes and bright four-petal configuration can be observed.

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Peregrine breather revisited

Cited by 86 publications

References 30 publications

Spontaneous emergence of rogue waves in partially coherent waves: A quantitative experimental comparison between hydrodynamics and optics

Spontaneous emergence of rogue waves in partially coherent waves: A quantitative experimental comparison between hydrodynamics and optics

Breather Rogue Waves in Random Seas

Rogue Wave Modes for the Coupled Nonlinear Schrödinger System with Three Components: A Computational Study

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