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Mutual interaction of localized nonlinear waves, e.g. solitons and modulation instability patterns, is a fascinating and intensively-studied topic of nonlinear science. In this research report, we report on the observation of a novel type…

Pattern Formation and Solitons · Physics 2020-10-16 Gang Xu , Andrey Gelash , Amin Chabchoub , Vladimir Zakharov , Bertrand Kibler

We analyze the influence of an impurity in the movement of discrete breathers in Klein--Gordon chains. We observe that the moving breather can cross the impurity, can be reflected by it, or can be trapped originating a quasi-periodic…

Pattern Formation and Solitons · Physics 2009-11-07 J. Cuevas , F. Palmero , J. F. R. Archilla , F. R. Romero

We report the ejection of atoms at a crystal surface caused by energetic breathers which have travelled more than 10^7 unit cells in atomic chain directions. The breathers were created by bombardment of a crystal face with heavy ions. This…

Other Condensed Matter · Physics 2007-05-23 F. M. Russell , J. C. Eilbeck

We construct a nonlinear lattice that has a particular symmetry in its potential function consisting of long-range pairwise interactions. The symmetry enhances smooth propagation of discrete breathers, and it is defined by an invariance of…

Pattern Formation and Solitons · Physics 2022-03-03 Yusuke Doi , Kazuyuki Yoshimura

The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a…

Pattern Formation and Solitons · Physics 2023-01-20 Duilio De Santis , Claudio Guarcello , Bernardo Spagnolo , Angelo Carollo , Davide Valenti

There exists a recent mathematical proof on the existence of small amplitude breathers in FPU systems near the phonon band, which includes a prediction of their amplitude and width. In this work we obtain numerically these breathers, and…

Pattern Formation and Solitons · Physics 2018-08-16 B. Sanchez-Rey , J. F. R. Archilla , G. James , J. Cuevas

We study the stability of a stationary discrete breather (DB) on a nonlinear trimer in the framework of the discrete nonlinear Schr\"odinger equation (DNLS). In previous theoretical investigations of the dynamics of Bose-Einstein…

Quantum Gases · Physics 2013-05-29 Holger Hennig , Jérôme Dorignac , David K. Campbell

We study the existence and stability of multisite discrete breathers in two prototypical non-square Klein-Gordon lattices, namely a honeycomb and a hexagonal one. In the honeycomb case we consider six-site configurations and find that for…

Pattern Formation and Solitons · Physics 2015-05-13 V. Koukouloyannis , P. G. Kevrekidis , K. J. H. Law , I. Kourakis , D. J. Frantzeskakis

It is well known that one-dimensional Klein-Gordon lattices with nearest-neighbor interactions can support multibreathers with phase differences between the successive "central" oscillators $\phi_i=0\ \mbox{or}\ \pi$ (standard…

Pattern Formation and Solitons · Physics 2013-05-24 Vassilis Koukouloyannis

We report on the experimental generation of discrete breather states (intrinsic localized modes) in frustrated Josephson arrays. Our experiments indicate the formation of discrete breathers during the transition from the static to the…

Condensed Matter · Physics 2007-05-23 M. Schuster , F. Pignatelli , A. V. Ustinov

The competition of dipole-dipole and contact interactions leads to exciting new physics in dipolar gases, well-illustrated by the recent observation of quantum droplets and rotons in dipolar condensates. We show that the combination of the…

We analyze the influence of an impurity in the evolution of moving discrete breathers in a Klein--Gordon chain with non-weak nonlinearity. Three different behaviours can be observed when moving breathers interact with the impurity: they…

Pattern Formation and Solitons · Physics 2018-08-16 J. Cuevas , F. Palmero , J. F. R. Archilla , F. R. Romero

We uncover subtle and previously unexplored phenomena arising from the interplay of nonlinearity and nonreciprocity in topological mechanical metamaterials. We study a nonreciprocal topological Klein-Gordon chain of asymmetrically coupled…

Disordered Systems and Neural Networks · Physics 2026-02-10 Bertin Many Manda , Vassos Achilleos

Inspired by the experimental results of Cuevas et al. (Physical Review Letters 102, 224101 (2009)), we consider theoretically the behavior of a chain of planar rigid pendulums suspended in a uniform gravitational field and subjected to a…

Pattern Formation and Solitons · Physics 2015-06-22 Y. Xu , T. J. Alexander , H. Sidhu , P. G. Kevrekidis

In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with hexagonal symmetry. We show that a single quantum emitter spectrally tuned to the middle of the band…

Quantum Physics · Physics 2018-04-18 A. González-Tudela , J. I. Cirac

We study localized waves in chains of oscillators coupled by Hertzian interactions and trapped in local potentials. This problem is originally motivated by Newton's cradle, a mechanical system consisting of a chain of touching beads subject…

Pattern Formation and Solitons · Physics 2015-06-12 Guillaume James , Jesus Cuevas , Panayotis Kevrekidis

We demonstrate that period-doubled discrete breathers appear from the anti-continuum limit of the driven Peyrard-Bishop-Dauxois model of DNA. These novel breathers result from a stability overlap between sub-harmonic solutions of the driven…

Pattern Formation and Solitons · Physics 2011-01-13 P. Maniadis , B. S. Alexandrov , A. R. Bishop , K. Ø. Rasmussen

We study theoretically the existence of bulk and surface discrete breathers in a one-dimensional magnetic metamaterial comprised of a periodic binary array of split-ring resonators. The two types of resonators differ in the size of their…

Pattern Formation and Solitons · Physics 2015-05-13 M. I. Molina , N. Lazarides , G. P. Tsironis

We consider the discrete p-Schr\"odinger (DpS) equation, which approximates small amplitude oscillations in chains of oscillators with fully-nonlinear nearest-neighbors interactions of order alpha = p-1 >1. Using a mapping approach, we…

Pattern Formation and Solitons · Physics 2013-12-18 Guillaume James , Yuli Starosvetsky

We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice. The lattice is subject to an on-site potential in addition…

patt-sol · Physics 2016-08-15 J. L. Marín , J. C. Eilbeck , F. M. Russell