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Bathymetric changes have been experimentally shown to affect the occurrence of rogue waves. We recently derived a non-homogeneous correction to the spectral analysis, allowing to describe the evolution of the rogue wave probability over a…

流体动力学 · 物理学 2023-07-19 Saulo Mendes , Jérôme Kasparian

We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude.…

偏微分方程分析 · 数学 2017-01-12 François Genoud

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…

光学 · 物理学 2023-03-09 D. Pierangeli , G. Perini , V. Palmieri , I. Grecco , G. Friggeri , M. Papi , E. DelRe , C. Conti

Effects of nonlinear dynamics of solitary waves and wave modulations within the modular (also known as quadratically cubic) Korteweg - de Vries equation are studied analytically and numerically. Large wave events can occur in the course of…

斑图形成与孤子 · 物理学 2023-04-17 Alexey Slunyaev , Anna Kokorina , Efim Pelinovsky

Propagation of weak gravitational waves, when a dynamical four-form is around, has been investigated. Exact, self-consistent solutions corresponding to plane, monochromatic gravitational waves have been studied.

广义相对论与量子宇宙学 · 物理学 2012-03-28 Patrick Das Gupta

In this work we derive evolution equations for the nonlinear behavior of a coasting beam under the influence of a resonator impedance. Using a renormalization group approach we find a set of coupled nonlinear equations for the beam density…

加速器物理 · 物理学 2007-05-23 S. I. Tzenov , P. L. Colestock

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

大气与海洋物理 · 物理学 2016-07-20 Eric Danioux , Jacques Vanneste

In this work, we study the dynamics of rogue waves in the partially $\cal{PT}$-symmetric nonlocal Davey-Stewartson(DS) systems. Using the Darboux transformation method, general rogue waves in the partially $\cal{PT}$-symmetric nonlocal DS…

数学物理 · 物理学 2017-10-20 Bo Yang , Yong Chen

By employing a mapping to classical anharmonic oscillators, we explore a class of solutions to the Nonlinear Schrodinger Equation (NLSE) in 1+1 dimensions and, by extension, asymptotically in general dimensions. We discuss a possible way…

数学物理 · 物理学 2011-05-11 Patrick Johnson , Daniel Cole , Zohar Nussinov

Linearly polarized solitary waves, arising from the interaction of an intense laser pulse with a plasma, are investigated. New localized structures, in the form of exact \Changes{numerical} nonlinear solutions of the one-dimensional…

等离子体物理 · 物理学 2015-03-11 G. Sánchez-Arriaga , E. Siminos , V. Saxena , I. Kourakis

Three-dimensional simulations with fully resolved hydrodynamics are performed to study the collective motion of model swimmers in confinement. We show that certain swimming mechanisms can lead to traveling wave-like collective motion even…

软凝聚态物质 · 物理学 2016-04-20 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto

Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the JONSWAP spectrum with the proximity to homoclinic solutions of the NLS…

斑图形成与孤子 · 物理学 2007-05-23 Constance Schober , Alvaro Islas

Rogue waves (RWs) are unexpectedly strong excitations emerging from an otherwise tranquil background. The nonlinear Schr\"odinger equation (NLSE), a ubiquitous model with wide applications to fluid mechanics, optics and plasmas, exhibits…

斑图形成与孤子 · 物理学 2016-01-07 H. N. Chan , B. A. Malomed , K. W. Chow , E. Ding

Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation with variable coefficients and parabolic potential to the…

可精确求解与可积系统 · 物理学 2015-05-20 Zhenya Yan , V. V. Konotop , N. Akhmediev

We study rogue wave excitation pattern in a two-component Bose-Einstein condensate with pair-transition effects. The results indicate that rogue wave excitation can exist on a stripe phase background for which there are cosine and sine wave…

斑图形成与孤子 · 物理学 2017-03-08 Li-Chen Zhao , Liming Ling , Jian-wen Qi , Zhan-Ying Yang , Wen-Li Yang

The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schr\"odinger equation with variable coefficients in terms of rational-like functions by using the similarity transformation and direct ansatz. These obtained…

可精确求解与可积系统 · 物理学 2015-05-20 Zhenya Yan

We investigate a higher order nonlinear Schr\"odinger equation with linear damping and weak viscosity, recently proposed as a model for deep water waves exhibiting frequency downshifting. Through analysis and numerical simulations, we…

斑图形成与孤子 · 物理学 2023-10-17 A. Calini , C. L. Ellisor , C. M. Schober , E. Smith

We systematically investigate rogue wave's spatial-temporal pattern in $N$ $(N\geq2)$-component coupled defocusing nonlinear Schr\"{o}dinger equations. The fundamental rogue wave solutions are given in a unified form for both focusing and…

斑图形成与孤子 · 物理学 2022-12-16 Yan-Hong Qin , Liming Ling , Li-Chen Zhao

Over the past decade, the rogue wave debate has stimulated the comparison of predictions and observations among different branches of wave physics, particularly between hydrodynamics and optics, in situations where analogous dynamical…

光学 · 物理学 2018-02-28 F. Baronio , B. Frisquet , S. Chen , G. Millot , S. Wabnitz , B. Kibler

We report on density waves in granular material, investigated both experimentally and numerically. When granular material falls through a long narrow pipe one observes recurrent clogging. The kinetic energy of the falling particles…

凝聚态物理 · 物理学 2007-05-23 Thorsten Poeschel