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Soliton fusion is a fascinating and delicate phenomenon that manifests itself in optical fibers in case of interaction between co-propagating solitons with small temporal and wavelengths separation. We show that the mechanism of…

光学 · 物理学 2015-06-12 Rodislav Driben , Ihar Babushkin

Using a generalized nonlinear Schr\"odinger equation, we investigate the transformation of a fundamental rogue wave to a collection of solitons. Taking the third-order dispersion, self-steepening, and Raman-induced self-frequency shift as…

斑图形成与孤子 · 物理学 2023-02-01 Amdad Chowdury , Wonkeun Chang , Marco Battiato

Ocean rogue waves (RW) -huge solitary waves- have for long triggered the interest of scientists. RWs emerge in a complex environment and it is still dubious the importance of linear versus nonlinear processes. Recent works have demonstrated…

光学 · 物理学 2016-02-05 M. Mattheakis , I. J. Pitsios , G. P. Tsironis , S. Tzortzakis

Supratransmission is a fascinating and counterintuitive nonlinear wave phenomenon that enables energy transmission through frequency band gaps. Recent studies have suggested that supratransmission in a damped-driven Klein-Gordon equation…

斑图形成与孤子 · 物理学 2025-04-29 Abrari Noor Hasmi , Hadi Susanto

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

Rogue waves are known to be much more common on jet currents. A possible explanation was put forward in [ [V. Shrira and A. Slunyaev, Nonlinear dynamics of trapped waves on jet currents and rogue waves, Phys. Rev. E 89, 041002, 2014]]: for…

流体动力学 · 物理学 2023-10-12 A. V. Slunyaev , V. I. Shrira

A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the…

斑图形成与孤子 · 物理学 2013-12-17 David I. Ketcheson , Manuel Quezada de Luna

We consider a two-level atomic system, interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the induced electric field, admits an envelope profile…

斑图形成与孤子 · 物理学 2016-08-24 Jingsong He , Shuwei Xu , K. Porsezian , Yi Cheng , P. Tchofo Dinda

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

In this brief report we study numerically the spontaneous emergence of rogue waves in (i) modulationally unstable plane wave at its long-time statistically stationary state and (ii) bound-state multi-soliton solutions representing the…

斑图形成与孤子 · 物理学 2022-12-09 D. S. Agafontsev , A. A. Gelash

Optical rogue waves are rare yet extreme fluctuations in the value of an optical field. The terminology was first used in the context of an analogy between pulse propagation in optical fibre and wave group propagation on deep water, but has…

光学 · 物理学 2014-10-14 John M. Dudley , Frédéric Dias , Miro Erkintalo , Goëry Genty

Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical properties of an incoherent wave field. Their understanding is…

斑图形成与孤子 · 物理学 2018-01-24 Rebecca El Koussaifi , Alexey Tikan , Alessandro Toffoli , Stephane Randoux , Pierre Suret , Miguel Onorato

Rogue waves are known to occur on the ocean surface leading to significant damage to marine installations and compromising ship safety. Understanding the physical mechanisms responsible for extreme wave focusing is crucial in order to…

大气与海洋物理 · 物理学 2024-08-14 Yuchen He , Amin Chabchoub

Rogue waves are extraordinarily high and steep isolated waves, which appear suddenly in a calm sea and disappear equally fast. However, though the Rogue waves are localized surface waves, their theoretical models and experimental…

可精确求解与可积系统 · 物理学 2015-03-13 Anjan Kundu , Abhik Mukherjee , Tapan Naskar

Ocean rogue waves are large and suddenly appearing surface gravity waves, which may cause severe damage to ships and other maritime structures. Despite years of research, the exact origin of rogue waves is still disputed. Linear…

大气与海洋物理 · 物理学 2015-07-30 Simon Birkholz , Carsten Brée , Ivan Veselić , Ayhan Demircan , Günter Steinmeyer

We predict the existence of linear discrete rogue waves governed by the discrete nonlinear Schrodinger equation. We discuss that Josephson effect is the underlying reason for the formation of such waves.

光学 · 物理学 2020-01-08 C. Yuce

Rogue waves in (2+1)-dimensional three-wave resonant interactions are studied. General rogue waves arising from a constant background, from a lump-soliton background and from a dark-soliton background have been derived, and their dynamics…

可精确求解与可积系统 · 物理学 2022-03-02 Bo Yang , Jianke Yang

Extreme or rogue waves are large and unexpected waves appearing with higher probability than predicted by Gaussian statistics. Although their formation is explained by both linear and nonlinear wave propagation, nonlinearity has been…

The excitation of nonlinear electrostatic waves, such as shock and solitons, by ultraintense laser interaction with overdense plasmas and related ion acceleration are investigated by numerical simulations. Stability of solitons and…

等离子体物理 · 物理学 2015-06-03 Andrea Macchi , Amritpal Singh Nindrayog , Francesco Pegoraro

We demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schr\"{o}dinger equation with third-order dispersion. This conceptually novel generation mechanism is based on…

光学 · 物理学 2017-11-01 Marc Eberhard , Antonino Savojardo , Akihiro Maruta , Rudolf A. Römer
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