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We investigate the outbreak of anomalous quantum wavefunction amplitudes in a one-dimensional tight-binding lattice featuring correlated diagonal disorder. Such rogue-wave-like behavior is fostered by a competition between localization and…

Disordered Systems and Neural Networks · Physics 2023-02-08 A. R. C. Buarque , W. S. Dias , G. M. A. Almeida , M. L. Lyra , F. A. B. F. de Moura

Formation of giant waves in sea states with two spectral maxima, centered at close wave vectors ${\bf k}_0\pm\Delta {\bf k}/2$ in the Fourier plane, is numerically simulated using the fully nonlinear model for long-crested water waves [V.…

Fluid Dynamics · Physics 2015-05-13 V. P. Ruban

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly…

We exploit new techniques for generating vortices and controlling their interactions in an optical beam in a nonlinear atomic vapor. A precise control of the vortex positions allows us to observe strong interactions leading to vortex…

Atomic Physics · Physics 2022-04-27 P. Azam , A. Griffin , S. Nazarenko , R. Kaiser

Rogue waves are extraordinarily high and steep isolated waves, which appear suddenly in a calm sea and disappear equally fast. However, though the Rogue waves are localized surface waves, their theoretical models and experimental…

Exactly Solvable and Integrable Systems · Physics 2015-03-13 Anjan Kundu , Abhik Mukherjee , Tapan Naskar

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 rapid and unpredictable events of exceptional amplitude reported in various fields, such as oceanography and optics, with much of the interest being targeted towards their physical origins and likelihood of occurrence. Here,…

Quantum Physics · Physics 2022-07-20 A. R. C. Buarque , W. S. Dias , F. A. B. F. de Moura , M. L. Lyra , G. M. A. Almeida

In addition to deep-water rogue waves which develop from the modulation instability of an optical CW, wave propagation in optical fibers may also produce shallow water rogue waves. These extreme wave events are generated in the…

Pattern Formation and Solitons · Physics 2015-06-12 Stefan Wabnitz , Christophe Finot , Julien Fatome , Guy Millot

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

We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schr\"{o}dinger equations. We find four fundamental rogue waves can emerge for second-order vector RW in the coupled system, in contrast to the high-order ones…

Pattern Formation and Solitons · Physics 2015-01-26 Liming Ling , Boling Guo , Li-Chen Zhao

Soliton fusion is a fascinating and delicate phenomenon that manifests itself in optical fibers in case of interaction between co-propagating solitons with small temporal and wavelengths separation. We show that the mechanism of…

Optics · Physics 2015-06-12 Rodislav Driben , Ihar Babushkin

We present a theoretical study of extreme events occurring in phononic lattices. In particular, we focus on the formation of rogue or freak waves, which are characterized by their localization in both spatial and temporal domains. We…

Pattern Formation and Solitons · Physics 2018-09-19 E. G. Charalampidis , J. Lee , P. G. Kevrekidis , C. Chong

Freak waves, or rogue waves, are one of the fascinating manifestations of the strength of nature. These devastating walls of water appear from nowhere, are short-lived and extremely rare. Despite the large amount of research activities on…

We show that rogue waves can be triggered naturally when a stable wave train enters a region of an opposing current flow. We demonstrate that the maximum amplitude of the rogue wave depends on the ratio between the current velocity, $ U_0…

Fluid Dynamics · Physics 2011-10-27 Miguel Onorato , Davide Proment , Alessandro Toffoli

Extreme or rogue waves are large and unexpected waves appearing with higher probability than predicted by Gaussian statistics. Although their formation is explained by both linear and nonlinear wave propagation, nonlinearity has been…

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

Using experimental data from three different rogue wave supporting systems, determinism and predictability of the underlying dynamics are evaluated with methods of nonlinear time series analysis. We included original records from the…

Atmospheric and Oceanic Physics · Physics 2015-03-03 Simon Birkholz , Carsten Brée , Ayhan Demircan , Günter Steinmeyer

We have studied the Rogue wave existence and propagation in Ion-acoustic mode for the highly energetic case using kappa distributed electrons in accordance with the Korteweg de Vries equation that is modified KdV and extended KdV equation.…

Plasma Physics · Physics 2022-04-12 Suman Dey , Debjit Maity , Ananya Ghosh , Priyanka Samanta , Ayanabha De , Swarniv Chandra

In this work, we consider the dynamics of vector rogue waves and dark-bright solitons in two-component nonlinear Schr\"odinger equations with various physically motivated time-dependent nonlinearity coefficients, as well as…

Pattern Formation and Solitons · Physics 2014-10-23 R. B. Mareeswaran , E. G. Charalampidis , T. Kanna , P. G. Kevrekidis , D. J. Frantzeskakis

In this essay we give an overview on the problem of rogue or freak wave formation in the ocean. The matter of the phenomenon is a sporadic occurrence of unexpectedly high waves on the sea surface. These waves cause serious danger for…

Atmospheric and Oceanic Physics · Physics 2017-03-30 Alexey Slunyaev , Ira Didenkulova , Efim Pelinovsky