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In this letter we investigate the propagation of nonlinear pulses along the free surface of flexible metamaterials based on the rotating squares mechanism. While these metamaterials have previously been shown to support the propagation of…

Applied Physics · Physics 2023-07-19 Bolei Deng , Hang Shu , Jian Li , Chengyang Mo , Jordan R. Raney , Vincent Tournat , Katia Bertoldi

We study free surface water waves in a 2-D symmetric triangular channel with sides that have a 45o slope. We develop models for small amplitude nonlinear waves, extending earlier studies that have considered the linearized problem. We see…

Fluid Dynamics · Physics 2022-08-31 P. Panayotaros , R. M. Vargas-Magaña

We predict the existence and address the stability of two-dimensional surface solitons featuring topologically complex shapes, including dipoles, vortices, and bound states of vortex solitons, at the interface of nonlocal thermal media.…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

Astrophysical disks that are sufficiently cold and dense are linearly unstable to the formation of axisymmetric rings as a result of the disk's gravity. In practice, spiral structures are formed, which may in turn produce bound fragments.…

Earth and Planetary Astrophysics · Physics 2022-08-17 Hongping Deng , Gordon I. Ogilvie

Due to the non-linearity of Hertzian contacts, the speed of sound $c$ in granular matter is expected to increase with pressure as $P^{1/6}$. A static layer of grains under gravity is thus stratified so that bulk waves are refracted toward…

Soft Condensed Matter · Physics 2007-05-23 L. Bonneau , B. Andreotti , E. Clement

We study the no reflection condition for a planar boundary between vacuum and an isotropic chiral medium. In general chiral media, elliptically polarized waves incident at a particular angle satisfy the no reflection condition. When the…

Optics · Physics 2009-11-13 Y. Tamayama , T. Nakanishi , K. Sugiyama , M. Kitano

The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic half-space. The free surface is assumed to coincide with one of the principal planes of…

Soft Condensed Matter · Physics 2013-04-24 Michel Destrade , Melanie Ottenio , Alexey V. Pichugin , Graham A. Rogerson

This paper is devoted to the stabilization of the water-wave equations with surface tension through of an external pressure acting on a small part of the free surface. It is proved that the energy decays to zero exponentially in time,…

Analysis of PDEs · Mathematics 2016-10-26 Thomas Alazard

We discover the existence of vortex solitons supported by the surface between two optical lattices imprinted in Kerr-type nonlinear media. Such solitons can feature strongly noncanonical profiles, and we found that their properties are…

This work comes as the second part in a series of investigations into the dynamics of rotating waves as solutions to lattice dynamical systems. Such nonlinear waves as solutions to mathematical equations are of great interest throughout the…

Dynamical Systems · Mathematics 2019-09-30 Jason J. Bramburger

We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear media, where the refractive index landscapes induced by laser…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

A low loss propagating electromagnetic wave is shown to exist at a gradual interface between two lossy conductive media. The electromagnetic frequency range of this phenomenon may span from UV optics to RF range. In particular, it is…

Classical Physics · Physics 2021-06-07 Igor I. Smolyaninov

We analyze the salient features of vortex-ring solitons supported by cylindrically symmetric media with nonlocal thermal nonlinearity. We discover the existence of a maximum allowed topological charge for such vortex solitons to be stable…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Wave phenomena in vibrofluidized dry and partially wet granular materials confined in a quasi-two-dimensional geometry are investigated with numerical simulations considering individual particles as hard spheres. Short ranged cohesive…

Soft Condensed Matter · Physics 2018-06-06 Kai Huang

We consider one-dimensional model of the interaction between surface and the internal gravity water waves. The internal wave is modeled by its basic form: a non-dispersive field with a horizontal current that is uniform over all depth,…

Atmospheric and Oceanic Physics · Physics 2010-10-12 K. Lossow , N. Lossow

Experimental results and their interpretations are presented on the nonlinear acoustic effects of multiple scattered elastic waves in unconsolidated granular media. Short wave packets with a central frequency higher than the so-called…

Classical Physics · Physics 2008-12-18 Vincent Tournat , Vitalyi Gusev

It seems having been firmly established that surface plasma waves (SPWs) could exist on any metal surfaces, including those of the ideal hard-wall type frequently employed in \textit{ab initio} studies of the dielectric responses of metals.…

Mesoscale and Nanoscale Physics · Physics 2020-09-14 Hai-Yao Deng

We study the stability of topologically protected zero-energy flat bands at the surface of nodal noncentrosymmetric superconductors, accounting for the alteration of the gap near the surface. Within a selfconsistent mean-field theory, we…

Superconductivity · Physics 2015-05-14 Carsten Timm , Stefan Rex , P. M. R. Brydon

Surface spin waves in thin Permalloy films are studied by means of propagative spin wave spectroscopy. We observe a systematic difference of up to several tens of MHz when comparing the frequencies of counter-propagating waves. This…

Materials Science · Physics 2016-03-18 O. Gladii , M. Haidar , Y. Henry , M. Kostylev , M. Bailleul

We experimentally study resonant interactions of oblique surface gravity waves in a large basin. Our results strongly extend previous experimental results performed mainly for perpendicular or collinear wave trains. We generate two oblique…

Fluid Dynamics · Physics 2016-09-13 F. Bonnefoy , F. Haudin , G. Michel , B. Semin , T. Humbert , S. Aumaître , M. Berhanu , E. Falcon
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