Results 31 to 40 of about 650,971 (215)

Real-world rogue wave probabilities

open access: yesScientific Reports, 2021
Rogue waves are dangerous ocean waves at least twice as high as the surrounding waves. Despite an abundance of studies conducting simulations or wave tank experiments, there is so far no reliable forecast for them.
Dion Häfner   +2 more
doaj   +1 more source

On the probability of occurrence of rogue waves [PDF]

open access: yesNatural Hazards and Earth System Sciences, 2012
A number of extreme and rogue wave studies have been conducted theoretically, numerically, experimentally and based on field data in the last years, which have significantly advanced our knowledge of ocean waves.
E. M. Bitner-Gregersen, A. Toffoli
doaj   +1 more source

Rogue Waves With Rational Profiles in Unstable Condensate and Its Solitonic Model

open access: yesFrontiers in Physics, 2021
In this brief report we study numerically the spontaneous emergence of rogue waves in 1) modulationally unstable plane wave at its long-time statistically stationary state and 2) bound-state multi-soliton solutions representing the solitonic model of ...
D. S. Agafontsev   +3 more
doaj   +1 more source

Dynamics of Rogue Waves for a Generalized Inhomogeneous Third-Order Nonlinear Schrödinger Equation From the Heisenberg Ferromagnetic System

open access: yesIEEE Access, 2019
In this paper, dynamics of the higher-order rogue waves for a generalized inhomogeneous third-order nonlinear Schrödinger equation is investigated by using the generalized Darboux transformation.
Ni Song, Hui Xue
doaj   +1 more source

Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach

open access: yesJournal of Ocean Engineering and Science, 2023
The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique.
Saima Arshed   +4 more
doaj   +1 more source

Rogue heat and diffusion waves [PDF]

open access: yesChaos, Solitons & Fractals, 2020
In this paper, we numerically show and discuss the existence and characteristics of rogue heat and diffusion waves. More specifically, we use two different nonlinear heat (diffusion) models and show that modulation instability leads to the generation of unexpected and large fluctuations in the frame of these models.
openaire   +2 more sources

Circular rogue wave clusters [PDF]

open access: yesPhysical Review E, 2011
Using the Darboux transformation technique and numerical simulations, we study the hierarchy of rational solutions of the nonlinear Schrödinger equation that can be considered as higher order rogue waves in this model. This analysis reveals the existence of rogue wave clusters with a high level of symmetry in the (x,t) plane.
Kedziora, David   +2 more
openaire   +3 more sources

Mathematical Modeling of Rogue Waves: A Survey of Recent and Emerging Mathematical Methods and Solutions

open access: yesAxioms, 2018
Anomalous waves and rogue events are closely associated with irregularities and unexpected events occurring at various levels of physics, such as in optics, in oceans and in the atmosphere. Mathematical modeling of rogue waves is a highly active field of
Sergio Manzetti
doaj   +1 more source

Brief communication: Implications of outstanding solitons for the occurrence of rogue waves at two additional sites in the North Sea [PDF]

open access: yesNatural Hazards and Earth System Sciences
We investigate rogue waves in buoy and radar measurement data from shallow depths in the southern North Sea. We analyze the role of solitons for the occurrence of rogue waves by computing discrete soliton spectra using the nonlinear Fourier transform for
I. Teutsch, R. Weisse, S. Wahls
doaj   +1 more source

Characterizing Rogue Waves at the Entrance of Tampa Bay (Florida, USA)

open access: yesJournal of Marine Science and Engineering, 2022
Rogue waves are a recognized but not fully comprehended hazard of major concern to the maritime industry. There is not one agreed-upon unified model that explains the formation of such waves and little is known about their frequency of occurrence.
Laura Azevedo   +4 more
doaj   +1 more source

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