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Powerful rogue ocean waves have been objects of fascination for centuries. Elusive and awe-inspiring, with the ability to inflict catastrophic damage, rogue waves remain unpredictable and imperfectly understood. To gain further insight into…

Atmospheric and Oceanic Physics · Physics 2022-02-23 Paul Johns , Peter Palffy-Muhoray , Jake Fontana

In this brief report we study numerically the spontaneous emergence of rogue waves in (i) modulationally unstable plane wave at its long-time statistically stationary state and (ii) bound-state multi-soliton solutions representing the…

Pattern Formation and Solitons · Physics 2022-12-09 D. S. Agafontsev , A. A. Gelash

Large amplitude water waves on deep water has long been known in the sea faring community, and the cause of great concern for, e.g., oil platform constructions. The concept of such freak waves is nowadays, thanks to satellite and radar…

Chaotic Dynamics · Physics 2015-05-13 A. Grönlund , B. Eliasson , M. Marklund

We study rogue wave excitation dynamics on a double-plane wave background through deriving rogue wave solution on the background. The results indicate that rogue wave still can be excited successfully from resonant perturbations with the…

Pattern Formation and Solitons · Physics 2017-10-06 Li-Chen Zhao , Liang Duan , Peng Gao , Zhan-Ying Yang

We study discrete rogue waves in an array of nonlinear waveguides. We show that very small degree of disorder due to experimental imperfection has a deep effect on the formation of discrete rogue waves. We predict long-living discrete rogue…

Optics · Physics 2015-06-24 S. Efe , C. Yuce

We present a spatio-temporal mechanism for producing 2D optical rogue waves in the presence of a turbulent state with creation, interaction and annihilation of optical vortices. Spatially periodic structures with bound phase lose stability…

Optics · Physics 2016-02-12 Christopher J. Gibson , Alison M. Yao , Gian-Luca Oppo

Rogue waves are solitary waves with extreme amplitudes, which appear to be a ubiquitous phenomenon in nonlinear wave propagation, with the requirement for a nonlinearity being their only unifying characteristics. While many mechanisms have…

Rogue waves are known to occur on the ocean surface leading to significant damage to marine installations and compromising ship safety. Understanding the physical mechanisms responsible for extreme wave focusing is crucial in order to…

Atmospheric and Oceanic Physics · Physics 2024-08-14 Yuchen He , Amin Chabchoub

Due to the widely applications in almost all branches of science, high dimensional KP equation is selected as universal model to describe rogue wave phenomenon. A lump is an algebraically localized wave decayed in all space directions and…

Exactly Solvable and Integrable Systems · Physics 2020-03-27 Man Jia , Senyue Lou

This paper presents a contemporary review of vertical coupling in the atmosphere and ionosphere system induced by internal waves of lower atmospheric origin. Atmospheric waves are primarily generated by meteorological processes, possess a…

Atmospheric and Oceanic Physics · Physics 2014-12-02 Erdal Yiğit , Alexander S. Medvedev

In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of…

Pattern Formation and Solitons · Physics 2022-03-09 Chong Liu , Shao-Chun Chen , Xiankun Yao , Nail Akhmediev

In this paper, we propose the existence and discuss the properties of rogue quantum gravitational waves. More specifically, we numerically solve the Schr\"odinger-Newton system of equations using a spectral scheme with a $4^{th}$ order…

General Physics · Physics 2023-01-25 Cihan Bayindir , Fatih Ozaydin , Azmi Ali Altintas , Metin Arik

We investigate the matter rogue wave in Bose-Einstein Condensates with attractive interatomic interaction analytically and numerically. Our results show that the formation of rogue wave is mainly due to the accumulation of energy and atoms…

Quantum Gases · Physics 2013-09-24 Lin Wen , Lu Li , Zai-Dong Li , Shu-Wei Song , Xiao-Fei Zhang , W. M. Liu

The appearance of rogue waves in deep sea is investigated using the modified nonlinear Schr\"odinger (MNLS) equation in one spatial-dimension with random initial conditions that are assumed to be normally distributed, with a spectrum…

Fluid Dynamics · Physics 2018-01-24 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden

Non-deterministic giant waves, denoted as rogue, killer, monster or freak waves, have been reported in many different branches of physics. Their origin is however still unknown: despite the massive numerical and experimental evidence, the…

Optics · Physics 2014-06-24 Andrea Armaroli , Claudio Conti , Fabio Biancalana

We discuss the possible advantages of using the wavelet transform over the Fourier transform for the early detection of rogue waves. We show that the triangular wavelet spectra of the rogue waves can be detected at early stages of the…

Fluid Dynamics · Physics 2015-12-09 Cihan Bayindir

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

We present a simple representation for arbitrary-order rogue wave solution and study on the trajectories of them explicitly. We find that the global trajectories on temporal-spatial distribution all look like "X" shape for rogue waves.…

Quantum Gases · Physics 2013-11-13 Liming Ling , Li-Chen Zhao

Rogue waves, and their periodic counterparts, have been shown to exist in a number of integrable models. However, relatively little is known about the existence of these objects in models where an exact formula is unattainable. In this…

Pattern Formation and Solitons · Physics 2017-12-12 C. B. Ward , P. G. Kevrekidis , N. Whitaker

General rogue waves in the Davey-Stewartson-I equation are derived by the bilinear method. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background with a line profile and then…

Exactly Solvable and Integrable Systems · Physics 2015-06-05 Yasuhiro Ohta , Jianke Yang