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The modulation instability is a focusing mechanism responsible for the formation of strong wave localizations not only on the water surface, but also in a variety of nonlinear dispersive media. Such dynamics is initiated from the injection…

Fluid Dynamics · Physics 2022-06-22 Yuchen He , Andy Witt , Stefano Trillo , Amin Chabchoub , Norbert Hoffmann

The generation of Rossby rogue waves (Rossby rogons), as well as the excitation of bright and dark Rossby envelpe solitons are demonstrated on the basis of the modulational instability (MI) of a coherent Rossby wave packet. The evolution of…

Plasma Physics · Physics 2012-12-11 A. P. Misra , P. K. Shukla

We introduce a novel family of analytic solutions of the three-wave resonant interaction equations to the purpose of modeling unique events, i.e. "amplitude peaks" which are isolated in space and time. The description of these solutions is…

Exactly Solvable and Integrable Systems · Physics 2013-09-18 Fabio Baronio , Matteo Conforti , Antonio Degasperis , Sara Lombardo

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

We report the first experimental observation of breather gases (BGs) in optics, realized in a recirculating fiber loop enabling virtually lossless propagation over $1200$ km. Initiated by a slowly modulated optical background perturbed by…

Pattern Formation and Solitons · Physics 2025-07-08 François Copie , Gino Biondini , Jeffrey Oregero , Gennady El , Pierre Suret , Stéphane Randoux

This article discusses the description of wall-bounded turbulence as a deterministic high-dimensional dynamical system of interacting coherent structures, defined as eddies with enough internal dynamics to behave relatively autonomously…

Fluid Dynamics · Physics 2018-03-20 Javier Jimenez

The occurrence of extreme (rogue) waves in the ocean is for the most part still shrouded in mystery, as the rare nature of these events makes them difficult to analyze with traditional methods. Modern data mining and machine learning…

Atmospheric and Oceanic Physics · Physics 2021-08-13 Dion Häfner , Johannes Gemmrich , Markus Jochum

Wave effects are often neglected in microlensing studies; however, for coherent point-like sources, such as pulsars and fast radio bursts (FRBs), wave effects will become important in their gravitational lensing. In this paper, we describe…

High Energy Astrophysical Phenomena · Physics 2020-08-12 Dylan L. Jow , Simon Foreman , Ue-Li Pen , Wei Zhu

In this paper, the generalized Darboux transformation is established to the AB system, which mainly describes marginally unstable baroclinic wave packets in geophysical fluids and ultra-short pulses in nonlinear optics. We find a unified…

Mathematical Physics · Physics 2013-12-24 Xin Wang , Yuqi Li , Yong Chen

Dispersive shock waves (DSWs) are expanding nonlinear wave trains that arise when dispersion regularizes a steepening front, a phenomenon observed in fluids, plasmas, optics, and superfluids. Here we report the first experimental…

Accelerator Physics · Physics 2025-10-23 H. McCright , I. G. Abel , I. Haber , P. G. O'Shea , B. L. Beaudoin

We explore rogue wave formation in multimode silicon nitride (Si$_3$N$_4$) waveguides with multimode nonlinear Schr\"odinger equation-based simulations. Pure fundamental-mode excitation produces smooth propagation without extreme events,…

Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been identified in the neocortex of turtles, rats, and humans,…

A nonlinear Schr\"odinger equation with variable coefficients for surface waves on a large-scale steady nonuniform current has been derived without the assumption of a relative smallness of the velocity of the current. This equation can…

Fluid Dynamics · Physics 2017-04-14 V. P. Ruban

The rogue wave solutions (rational multi-breathers) of the nonlinear Schrodinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5…

Fluid Dynamics · Physics 2017-03-30 A. Slunyaev , E. Pelinovsky , A. Sergeeva , A. Chabchoub , N. Hoffmann , M. Onorato , N. Akhmediev

Wakes are medium perturbations created by a moving object, such as wave patterns behind boats, or wingtip vortices following an aircraft. Here, we report about an experimental study of an uncharted form of parabolic wakes occurring in media…

Applied Physics · Physics 2024-02-09 Janez Rus , Aleksi Bossart , Benjamin Apffel , Matthieu Mallejac , Romain Fleury

The transient optical sky has remained largely unexplored on very short timescales. While there have been some experiments searching for optical transients from minutes to years, none have had the capability to distinguish millisecond Fast…

High Energy Astrophysical Phenomena · Physics 2023-06-08 Guillem Megias Homar , Joshua E. Meyers , Steven M. Kahn

This paper reviews gravitational wave sources and their detection. One of the most exciting potential sources of gravitational waves are coalescing binary black hole systems. They can occur on all mass scales and be formed in numerous ways,…

Instrumentation and Methods for Astrophysics · Physics 2016-02-19 Hyung Mok Lee , Eric-Olivier Le Bigot , ZhiHui Du , ZhangXi Lin , XiangYu Guo , LinQing Wen , Khun Sang Phukon , Vihan Pandey , Sukanta Bose , Xi-Long Fan , Martin Hendry

The higher-order dispersive and nonlinear effects (alias {\it the perturbation terms}) like the third-order dispersion, the self-steepening, and the self-frequency shift play important roles in the study of the ultra-short optical pulse…

Exactly Solvable and Integrable Systems · Physics 2015-06-17 Zhenya Yan , Chaoqing Dai

We address light propagation properties in complex media consisting of random distributions of lenses that have specific focusing properties. We present both analytical and numerical techniques that can be used to study emergent properties…

Optics · Physics 2017-04-07 M. Mattheakis , G. P. Tsironis

We show that universal rogue wave patterns exist in integrable systems. These rogue patterns comprise fundamental rogue waves arranged in shapes such as triangle, pentagon and heptagon, with a possible lower-order rogue wave at the center.…

Exactly Solvable and Integrable Systems · Physics 2021-07-14 Bo Yang , Jianke Yang