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An analytical method for constructing various coherent localized solutions with short-lived characteristics is proposed based on a novel self-mapping transformation of the (2+1) dimensional KdV equation. The highlight of this method is that…

Pattern Formation and Solitons · Physics 2024-05-22 Jie-Fang Zhang , Mei-zhen Jin , Meng-yang Zhang

Gravitational waves act like lenses for the light propagating through them. This phenomenon is described using the vector formalism employed for ordinary gravitational lenses, which was proved to be applicable also to a non-stationary…

Astrophysics · Physics 2014-10-13 Valerio Faraoni

In this work we study oceanic waves in a shallow water flow subject to strong wind forcing and rotation, and linearized around a inhomogeneous (non zonal) stationary profile. This extends the study \cite{CGPS}, where the profile was assumed…

Analysis of PDEs · Mathematics 2010-11-22 Isabelle Gallagher , Thierry Paul , Laure Saint-Raymond

The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schr\"odinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the…

Fluid Dynamics · Physics 2015-11-03 Y. Charles Li

The evolution of unidirectional nonlinear sea surface waves is calculated numerically by means of solutions of the Euler equations. The wave dynamics corresponds to quasi-equilibrium states characterized by JONSWAP spectra. The…

Atmospheric and Oceanic Physics · Physics 2017-03-17 Alexey Slunyaev , Anna Sergeeva , Ira Didenkulova

We construct and discuss a semi-rational, multi-parametric vector solution of coupled nonlinear Schr\"odinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright-dark-rogue solutions, and…

Exactly Solvable and Integrable Systems · Physics 2013-08-09 Fabio Baronio , Antonio Degasperis , Matteo Conforti , Stefan Wabnitz

Within the framework of the average approach and direct 3D PIC (particle-in-cell) simulations we demonstrate that the gyrotrons operating in the regime of developed turbulence can sporadically emit "giant" spikes with intensities a factor…

Chaotic Dynamics · Physics 2017-09-20 N. S. Ginzburg , R. M. Rozental , A. S. Sergeev , A. E. Fedotov , I. V. Zotova , V. P. Tarakanov

In this work we present an analytical and numerical study of rogue and solitary waves in a coupled one-dimensional nonlinear lattice that involves both axial and rotational degrees of freedom. Using a multiple-scale analysis we derive a…

Pattern Formation and Solitons · Physics 2022-03-23 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

We examine the interaction between floating cylindrical objects and surface waves in the gravity regime. Since the impact of resonance phenomena associated with floating bodies, particularly at laboratory scales, remains underexplored, we…

Here to represent the propagation of waves I attempted to describe them separately in space and time domains. The time and space wave equations are obtained and investigated, and formulas for the wave propagation are expressed. I also tried…

General Physics · Physics 2007-05-23 Alexei Krouglov

In this paper, we propose and apply a deep learning strategy for the early detection of the Draupner rogue (freak) wave, which is also known as the New Year's wave. We use a long short term memory (LSTM) network and show that Draupner rogue…

Atmospheric and Oceanic Physics · Physics 2018-12-31 Cihan Bayindir

Astrophysical sources emit gravitational waves in a large variety of processes occurred since the beginning of star and galaxy formation. These waves permeate our high redshift Universe, and form a background which is the result of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Raffaella Schneider , Stefania Marassi , Valeria Ferrari

Complex plasmas consist of microparticles embedded in a low-temperature plasma and allow investigating various effects by tracing the motion of these microparticles. Dust density waves appear in complex plasmas as self-excited acoustic…

Plasma Physics · Physics 2022-02-23 P. Bajaj , S. Khrapak , V. Yaroshenko , M. Schwabe

Astronomical observations in the electromagnetic window - microwave, radio and optical - have revealed that most of the Universe is dark. The only reason we know that dark matter exists is because of its gravitational influence on luminous…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. S. Sathyaprakash

We study the existence and properties of rogue wave solutions in different nonlinear wave evolution models that are commonly used in optics and hydrodynamics. In particular, we consider Fokas-Lenells equation, the defocusing vector nolinear…

Exactly Solvable and Integrable Systems · Physics 2015-06-23 Fabio Baronio , Shihua Chen , Philippe Grelu , Stefan Wabnitz , Matteo Conforti

Plasma waves in the magnetosphere scatter electrons, causing them to precipitate into Earth's atmosphere, imparting their temporal characteristics to diffuse auroras. In a case study of conjugate radar and satellite observations, we…

We report 2D time-dependent non-linear magneto-hydrodynamical simulations of waves in the atmospheres of roAp stars. We explore a grid of simulations in a wide parameter space. The aim of our study is to understand the influence of the…

Solar and Stellar Astrophysics · Physics 2009-11-13 E. Khomenko , O. Kochukhov

Gravitational waves emitted by the merger of two black holes have been detected, setting the course for a new era of observational astrophysics.

General Relativity and Quantum Cosmology · Physics 2016-03-16 Emanuele Berti

We demonstrate a way to generate a two-dimensional rogue waves in two types of broad area nonlinear optical systems subject to time-delayed feedback: in the generic Lugiato-Lefever model and in model of a broad-area surface-emitting laser…

Pattern Formation and Solitons · Physics 2017-03-08 Mustapha Tlidi , Krassimir Panajotov

In its broadest sense the term bent wave rays hints at light or electromagnetic waves bending in a strong gravitational field or in their progress through a transparent medium of nonuniform index of refraction. However, there are instances…

Classical Physics · Physics 2022-02-22 Adel H. Alameh
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