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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…

流体动力学 · 物理学 2011-10-27 Miguel Onorato , Davide Proment , Alessandro Toffoli

In this study we discuss the shapes and statistics of the rogue (freak) waves emerging due to wave-current interactions. With this purpose, we use a simple governing equation which is a nonlinear Schrodinger equation (NLSE) extended by R.…

混沌动力学 · 物理学 2015-12-14 Cihan Bayindir

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…

流体动力学 · 物理学 2017-04-14 V. P. Ruban

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

We show experimentally that a stable wave propagating into a region characterized by an opposite current may become modulationaly unstable. Experiments have been performed in two independent wave tank facilities; both of them are equipped…

流体动力学 · 物理学 2014-07-30 A. Toffoli , T. Waseda , H. Houtani , T. Kinoshita , K. Collins , D. Proment , M. Onorato

The generation of rogue waves is investigated via a nonlocal nonlinear Schrodinger (NLS) equation. In this system, modulation instability is suppressed and is usually expected that rogue wave formation would also be limited. On the…

斑图形成与孤子 · 物理学 2017-04-26 Theodoros P. Horikis , Mark J. Ablowitz

In this work, we numerically consider the initial value problem for nonlinear Schr\"odinger (NLS) type models arising in the physics of ultracold boson gases, with generic Gaussian wavepacket initial data. The corresponding Gaussian's width…

斑图形成与孤子 · 物理学 2016-09-08 E. G. Charalampidis , J. Cuevas-Maraver , D. J. Frantzeskakis , P. G. Kevrekidis

Some years ago, Chen, Pelinovsky, and White claimed existence of certain solutions of the nonlinear Schr\"odinger equation for modelling rogue waves [arXiv: 1909.08165v1 (2019)]. It is the aim of this Comment to outline that this claim is…

可精确求解与可积系统 · 物理学 2025-08-05 Hans Werner Schuermann , Valery Serov

Nonlinear dynamics of surface gravity waves trapped by an opposing jet current is studied analytically and numerically. For wave fields narrowband in frequency but not necessarily with narrow angular distributions the developed asymptotic…

流体动力学 · 物理学 2017-03-17 Victor Shrira , Alexey Slunyaev

We consider the effect of the wind and the dissipation on the nonlinear stages of the modulational instability. By applying a suitable transformation, we map the forced/damped Nonlinear Schr\"odinger (NLS) equation into the standard NLS…

混沌动力学 · 物理学 2013-05-15 Miguel Onorato , Davide Proment

We report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schr\"odinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank…

斑图形成与孤子 · 物理学 2015-04-16 Pierre Walczak , Stéphane Randoux , Pierre Suret

Rogue waves are abnormally large waves which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, one time (1+1) nonlinear Schr\"odinger equation is often used to model rogue waves; it…

斑图形成与孤子 · 物理学 2021-09-14 Mark J. Ablowitz , Justin T. Cole

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

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

In this paper, we propose the existence and discuss the properties of rogue quantum gravitational waves. More specifically, we numerically solve the Schr\"odinger-Newton system of equations using a spectral scheme with a $4^{th}$ order…

综合物理 · 物理学 2023-01-25 Cihan Bayindir , Fatih Ozaydin , Azmi Ali Altintas , Metin Arik

The one-dimensional focusing nonlinear Schrodinger equation (NLSE) on an unstable condensate background is the fundamental physical model, that can be applied to study the development of modulation instability (MI) and formation of rogue…

可精确求解与可积系统 · 物理学 2018-02-14 A. A. Gelash

The defocusing nonlinear Schr\"odinger (NLS) equation has no the modulational instability, and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper, we firstly investigate some novel nonlinear wave structures in…

斑图形成与孤子 · 物理学 2021-11-19 Li Wang , Zhenya Yan

The nonlinear Schr\"odinger equation (NLSE) stands out as the dispersive nonlinear partial differential equation that plays a prominent role in the modeling and understanding of the wave phenomena relevant to many fields of nonlinear…

斑图形成与孤子 · 物理学 2016-06-15 Stephane Randoux , Pierre Suret , Gennady El

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

In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of…

斑图形成与孤子 · 物理学 2022-03-09 Chong Liu , Shao-Chun Chen , Xiankun Yao , Nail Akhmediev
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