The conventional definition of rogue waves in the ocean is that their heights, from crest to trough, are more than about twice significant wave height, which average height largest one-third nearby waves. When modeling deep water using nonlinear Schrödinger equation, most likely candidate satisfying this criterion so-called Peregrine solution. It localized both space and time, thus describing a unique event. Until now, experiments specifically designed for observation breather states...

Super rogue waves with an amplitude of up to 5 times the background value are observed in a water-wave tank for first time. Nonlinear focusing local wave occurs according higher-order breather solution nonlinear equation. The present result shows that can also develop from very calm and apparently safe sea states. We expect have significant impact on studies extreme ocean initiate related other disciplines concerned dispersive media, such as optics, plasma physics, superfluidity.Received 17...

Abstract The mode‐coupling instability has generally been acknowledged as one of the most prominent mechanisms leading to self‐excited oscillations in sliding friction systems. influence structural damping on this type mechanism however not yet fully clarified. objective present work therefore is investigate qualitative and quantitative aspects presence damping, which will be assumed linear viscous. For sake simplicity a two‐degree‐of‐freedom minimal model set up analyzed. It shown that...

We present experimental observations of the hierarchy rational breather solutions nonlinear Schr\"odinger equation (NLS) generated in a water wave tank. First, five breathers infinite have been successfully generated, thus confirming theoretical predictions their existence. Breathers orders higher than appeared to be unstable relative wave-breaking effect waves. Due strong influence breaking and relatively small carrier steepness values experiment these results for higher-order do not...

We present the first ever observation of dark solitons on surface water. It takes form an amplitude drop carrier wave which does not change shape in propagation. The and width soliton depend water depth, frequency, background wave. experimental data taken a tank show excellent agreement with theory. These results may improve our understanding nonlinear dynamics waves at finite depths.

The rogue wave solutions (rational multi-breathers) of the nonlinear Schrodinger equation (NLS) are tested in numerical simulations weakly and fully hydrodynamic equations. Only lowest order from 1 to 5 considered. A higher accuracy propagation space is reached using modified NLS (MNLS) also known as Dysthe equation. This modelling allowed us directly compare with recent results laboratory measurements \cite{Chabchoub2012c}. In achieve even physical accuracy, we employed potential Euler...

We present experimental results on the study of spatiotemporally localized surface wave events deep water that can be modeled using Peregrine breather solution nonlinear Schr\"odinger equation. These are often considered as prototypes oceanic rogue waves focus energy into a single packet. For small steepness values carrier gravity breathers relatively wide, thus providing an excellent agreement between theory and results. larger steepnesses focusing leads to temporally spatially shorter...

We report the experimental observation of multi-bound-soliton solutions nonlinear Schr\"odinger equation (NLS) in context hydrodynamic surface gravity waves. Higher-order $N$-soliton with $N=2$, 3 are studied detail and shown to be associated self-focusing wave group dynamics generation a steep localized carrier underneath envelope. also show that for larger input soliton numbers, experiences irreversible spectral broadening, which we refer as supercontinuum by analogy optics. This process...

There are two main approximate theories in the contact of rough solids: Greenwood-Williamson asperity (GW) and Persson theories. Neither them has been fully assessed so far with respect to load-separation curves. Focusing on most important case low fractal dimension (D

This paper discusses the potential of deterministic wave prediction as one basic module for decision support offshore operations. Therefore, methods different complexity—the linear solution, non-linear Schrödinger equation (NLSE) two orders and high-order spectral method (HOSM)—are presented in terms applicability limitations use. For this purpose, irregular sea states with varying parameters are addressed by numerical simulations well model tests controlled environment a seakeeping basin....

Being considered as a prototype for description of oceanic rogue waves, the Peregrine breather solution nonlinear Schrödinger equation has been recently observed and intensely investigated experimentally in particular within context water waves. Here, we report experimental results showing evolution presence wind forcing direction wave propagation. The show persistence dynamics even strong chaotic field generated by it. Furthermore, have shown that characteristic spectrum persists at highest...

We study the properties of chaotic wave fields generated in frame Sasa-Satsuma equation (SSE). Modulation instability results a pattern small-scale filaments with free parameter---the propagation constant $k$. The average velocity is approximately given by group calculated from dispersion relation for plane-wave solution. Remarkably, our reveal reason skewed profile exact SSE rogue-wave solutions, which was one their distinctive unexplained features. have also probability density functions...

The analysis of whole engine rotordynamic models is an important element in the design aerojet engines. include gyroscopic effects and allow for rubbing contact between rotor stator components such as bladed discs casing. Due to nonlinearities inherent system, bifurcations frequency response may arise. Reliable efficient methods determine bifurcation points solution branches are required. For this purpose, a multi-harmonic balance approach presented that allows numerically detection...