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Related papers: Rogue waters

200 papers

We explore extreme event occurrence in the integrable turbulence with self-similar asymptotics. We posit that rogue waves in such systems manifest themselves as giant fluctuations away from average self-similar dynamics of the system. We…

Optics · Physics 2017-12-29 Yashar E. Monfared , Sergey A. Ponomarenko

We present fluid dynamics videos of the motion of a boat on a two-layer or three-layer fluid. Under certain specific conditions, this setup generates large amplitude interfacial waves, while no surface waves are visible. The boat is slowed…

Fluid Dynamics · Physics 2008-10-10 Romain Vasseur , Matthieu Mercier , Thierry Dauxois

The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schr\"odinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the…

Fluid Dynamics · Physics 2015-11-03 Y. Charles Li

In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation…

Optics · Physics 2016-03-23 Cihan Bayindir

Inhomogeneity generated waves, discovered more than a decade ago, play an important role in processes like energy transfer, turbulence generation, heating, etc. To understand the nature of these waves we developed the formalism that looks…

Plasma Physics · Physics 2019-03-14 Edisher Kaghashvili

Nonlinear wave run-up on the beach caused by harmonic wave maker located at some distance from the shore line is studied experimentally. It is revealed that under certain wave excitation frequencies a significant increase in run-up…

Atmospheric and Oceanic Physics · Physics 2015-06-05 Alexander Ezersky , Nizar Abcha , Efim Pelinovsky

By "surface waves" one means a special kind of waves that propagate at the interface between two different media. There exists a large variety of such waves, which are interesting on their own, and sometimes have also practical importance…

Classical Physics · Physics 2021-07-12 M. I. Dyakonov

This paper addresses deep-water gravity waves of finite amplitude generated by an initial disturbance to the water. It is assumed that the horizontal dimensions of the initially disturbed body of the water are much larger than the magnitude…

Atmospheric and Oceanic Physics · Physics 2014-08-20 Ilia M. Mindlin

Wave impact and run-up onto vertical obstacles are among the most important phenomena which must be taken into account in the design of coastal structures. From linear wave theory, we know that the wave amplitude on a vertical wall is twice…

Classical Physics · Physics 2020-05-26 Francesco Carbone , Denys Dutykh , John M. Dudley , Frédéric Dias

We examine the interaction between floating cylindrical objects and surface waves in the gravity regime. Since the impact of resonance phenomena associated with floating bodies, particularly at laboratory scales, remains underexplored, we…

This paper is devoted to a comprehensive analysis of a family of solutions of the focusing nonlinear Schr\"odinger equation called general rogue waves of infinite order. These solutions have recently been shown to describe various limit…

Analysis of PDEs · Mathematics 2024-08-13 Deniz Bilman , Peter D. Miller

The nonlinear dynamics of an obliquely oriented wave packet at sea surface is studied both analytically and numerically for various initial parameters of the packet, in connection with the problem of oceanic rogue waves. In the framework of…

Fluid Dynamics · Physics 2015-04-10 V. P. Ruban

We investigate the interaction of waves with surface flows by considering the full set of conserved quantities, subtle but important surface elevation changes induced by wave packets and by directly considering the necessary forces to…

Atmospheric and Oceanic Physics · Physics 2014-08-26 Clifford Chafin

Using the generalised nonlinear Schr\"odinger equation, we investigate how the effect of third-order dispersion, self-steepening, and Raman-induced-self-frequency shift have an impact on the higher-order rogue waves. We observe that…

Pattern Formation and Solitons · Physics 2022-10-04 Amdad Chowdury , Wonkeun Chang , Marco Battiato

Rogue waves (RWs) are unexpectedly strong excitations emerging from an otherwise tranquil background. The nonlinear Schr\"odinger equation (NLSE), a ubiquitous model with wide applications to fluid mechanics, optics and plasmas, exhibits…

Pattern Formation and Solitons · Physics 2016-01-07 H. N. Chan , B. A. Malomed , K. W. Chow , E. Ding

Waves traveling through random media exhibit random focusing that leads to extremely high wave intensities even in the absence of nonlinearities. Although such extreme events are present in a wide variety of physical systems and the…

Chaotic Dynamics · Physics 2015-06-17 Jakob J. Metzger , Ragnar Fleischmann , Theo Geisel

Rogue waves are intense and unexpected wavepackets ubiquitous in complex systems. In optics, they are promising as robust and noise-resistant beams for probing and manipulating the underlying material. Localizing large optical power is…

Optics · Physics 2023-03-09 D. Pierangeli , G. Perini , V. Palmieri , I. Grecco , G. Friggeri , M. Papi , E. DelRe , C. Conti

The formulation of a canonical deep-water breaking wave problem is introduced, and the results of a set of three-dimensional numerical simulations for deep-water breaking waves are presented. In this paper fully nonlinear progressive waves…

Fluid Dynamics · Physics 2014-10-08 Kyle A. Brucker , Thomas T. O'Shea , Douglas G. Dommermuth , Paul Adams

Rogue waves in birefringent optical fibers are analyzed within the framework of the coupled nonlinear Schr\"odinger (CNLS) system. The generation of rogue waves is frequently associated with modulation instability (MI). It is commonly…

Pattern Formation and Solitons · Physics 2016-07-08 Mark J. Ablowitz , Theodoros P. Horikis

The presence of refractive index fluctuations in an optical medium can result in the generation of optical rogue waves. Using numerical simulations and statistical analysis, we have shown that the probability of optical rogue waves…

Optics · Physics 2019-05-22 Mostafa Peysokhan , John Keeney , Arash Mafi