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Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localised packet and which preserves this localisation in time. A soliton is a solitary wave which exhibits some strong form of stability so that…

偏微分方程分析 · 数学 2008-10-29 J. Bellazzini , V. Benci , C. Bonanno , E. Sinibaldi

We study the mobility of solitons in second-harmonic-generating lattices. Contrary to what is known for their cubic counterparts, discrete quadratic solitons are mobile not only in the one-dimensional (1D) setting, but also in two…

斑图形成与孤子 · 物理学 2010-12-10 H. Susanto , P. G. Kevrekidis , R. Carretero-Gonzalez , Boris A. Malomed , D. J. Frantzeskakis

Solitons are non-dispersive wave solutions that arise in a diverse range of nonlinear systems, stablised by a focussing or defocussing nonlinearity. First observed in shallow water, solitons have subsequently been studied in many other…

原子物理 · 物理学 2015-06-12 A. L. Marchant , T. P. Billam , T. P. Wiles , M. M. H. Yu , S. A. Gardiner , S. L. Cornish

Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

斑图形成与孤子 · 物理学 2007-05-23 Yu. A. Bunyak

Flow networks are fundamental for understanding systems such as animal and plant vasculature or power distribution grids. These networks can encode, transmit, and transform information embodied in the spatial and temporal distribution of…

Solitons are localized nonlinear wave packets that propagate without spreading because nonlinearity balances dispersion. Their robustness is well understood in effectively one-dimensional systems, but introducing additional spatial…

We investigate via Molecular Dynamics simulations the propagation of solitons in a two-dimensional many-body system characterized by Yukawa interaction potential. The solitons are created in an equilibrated system by the application of…

等离子体物理 · 物理学 2019-10-30 Z. Donko , P. Hartmann , R. U. Masheyeva , K. N. Dzhumagulova

Magnetic droplet solitons are dynamical magnetic textures that form due to an attractive interaction between spin waves in thin films with perpendicular magnetic anisotropy. Spin currents and the spin torques associated with these currents…

介观与纳米尺度物理 · 物理学 2020-09-10 Ferran Macià , Andrew D. Kent

Breathing solitons consist of a fast beating wave within a compact envelope of stable shape and velocity. They can propagate and carry information and energy in a variety of contexts such as plasmas, optical fibers and cold atoms, but…

When wind blows at the surface of a liquid of sufficiently high viscosity, a wave packet of small amplitude is first generated, which sporadically forms large-amplitude fluid bumps that rapidly propagate downstream. These nonlinear…

流体动力学 · 物理学 2020-12-09 M. Aulnette , M. Rabaud , F. Moisy

Transport processes in crowded periodic structures are often mediated by cooperative movements of particles forming clusters. Recent theoretical and experimental studies of driven Brownian motion of hard spheres showed that cluster-mediated…

统计力学 · 物理学 2024-12-04 Alexander P. Antonov , Artem Ryabov , Philipp Maass

Droplet solitons are a strongly nonlinear, inherently dynamic structure in the magnetization of ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (strong perpendicular anisotropy). Large droplet solitons have…

斑图形成与孤子 · 物理学 2015-06-29 L. D. Bookman , M. A. Hoefer

We consider the dynamics of internal envelope solitons in a two-layer rotating fluid with a linearly varying bottom. It is shown that the most probable frequency of a carrier wave which constitutes the solitary wave is the frequency where…

流体动力学 · 物理学 2019-03-25 Yury Stepanyants

We study experimentally and theoretically discrete solitons in crystalline structures consisting of several tens of laser-cooled ions confined in a radiofrequency trap. Resonantly exciting localized, spectrally gapped vibrational modes of…

量子物理 · 物理学 2017-10-18 J. Brox , P. Kiefer , M. Bujak , H. Landa , T. Schaetz

We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach…

介观与纳米尺度物理 · 物理学 2022-05-20 A. A. Zabolotnykh

Rogue waves are solitary waves with extreme amplitudes, which appear to be a ubiquitous phenomenon in nonlinear wave propagation, with the requirement for a nonlinearity being their only unifying characteristics. While many mechanisms have…

光学 · 物理学 2011-11-09 A. Demircan , Sh. Amiranashvili , C. Brée , Ch. Mahnke , F. Mitschke , G. Steinmeyer

The propagation and controlled manipulation of strongly nonlinear, two-dimensional solitonic states in a thin, anisotropic ferromagnet are theoretically demonstrated. It has been recently proposed that spin-polarized currents in a…

斑图形成与孤子 · 物理学 2012-07-23 M. A. Hoefer , M. Sommacal , T. J. Silva

Soliton gases are large ensembles of random solitons with distinct characteristics arising from integrable system dynamics. They have been widely studied in theory and experiments, and were observed in natural lagoons. However, it remains…

斑图形成与孤子 · 物理学 2025-10-08 Yu-Chen Lee , Sander Wahls

Interactions between solitary waves have been pivotal to understanding nonlinear phenomena across various disciplines. The dynamics of rarefaction solitary waves holds great potential, yet their fundamental characteristics and interactions…

斑图形成与孤子 · 物理学 2025-05-21 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

Solitons, as coherent structures that maintain their shape while traveling at constant velocity, are ubiquitous across various branches of physics, from fluid dynamics to quantum fields. However, it is within the realm of optics where…

光学 · 物理学 2024-08-21 Dmitry Kazakov , Federico Capasso , Marco Piccardo