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We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

We prove the existence of discrete breathers (time-periodic, spatially localized solutions) in weakly coupled ferromagnetic spin chains with easy-axis anisotropy. Using numerical methods we then investigate the continuation of discrete…

Condensed Matter · Physics 2008-11-26 J. M. Speight , P. M. Sutcliffe

Breathing solitons are nonlinear waves in which the energy concentrates in a localized and oscillatory fashion. Similarly to stationary solitons, breathers in dissipative systems can form stable bound states displaying molecule-like…

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

Using two methods we show that a quantized discrete breather in a 1-D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with those of the quantum breather. The other takes a local mode as…

Statistical Mechanics · Physics 2009-11-11 L. S. Schulman , D. Tolkunov , E. Mihokova

The question whether a nonlinear localized mode (discrete soliton/breather) can be mobile in a lattice has a standard interpretation in terms of the Peierls-Nabarro (PN) potential barrier. For the most commonly studied cases, the PN barrier…

Pattern Formation and Solitons · Physics 2017-11-22 Magnus Johansson , Peter Jason

We explored strong coupling of dynamic breathing modes in one-dimensional (1D) skyrmion lattices periodically arranged in thin-film nanostrips. The coupled breathing modes exhibit characteristic concave-down dispersions that represent the…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Junhoe Kim , Jaehak Yang , Young-Jun Cho , Bosung Kim , Sang-Koog Kim

In strained monoatomic chains with Lennard-Jones interactions, we revealed a stable static non-homogeneous structure appearing as a result of a certain phase transition. Positions of individual particles in this structure form an exact…

Pattern Formation and Solitons · Physics 2018-09-25 G. M. Chechin , V. S. Lapina

We generate and observe discrete rotobreathers in Josephson junction ladders with open boundaries. Rotobreathers are localized excitations that persist under the action of a spatially uniform force. We find a rich variety of stable dynamic…

Superconductivity · Physics 2009-10-31 P. Binder , D. Abraimov , A. V. Ustinov

We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges. Upon analyzing the linear band structure of the model, we…

Pattern Formation and Solitons · Physics 2023-02-15 H. Duran , J. Cuevas-Maraver , P. G. Kevrekidis , A. Vainchtein

We study numerically synchronization phenomena of mobile discrete breathers in dissipative nonlinear lattices periodically forced. When varying the driving intensity, the breather velocity generically locks at rational multiples of the…

Pattern Formation and Solitons · Physics 2007-05-23 D. Zueco , P. J. Martinez , L. M. Floria , F. Falo

We present analytical and numerical study of discrete breathers identified as localized deformations of valence angles accompanied by change of valence bonds in crystalline polyethylene (PE). It is shown that such breathers can exist inside…

Pattern Formation and Solitons · Physics 2007-05-23 L. I. Manevitch , A. V. Savin , C. -H. Lamarque

We examine the dynamics of strongly localized periodic solutions (discrete breathers) in two-dimensional array of coupled finite one-dimensional chains of oscillators. Localization patterns with both single and multiple localization sites…

Pattern Formation and Solitons · Physics 2017-05-18 Itay Grinberg , Oleg V. Gendelman

We present a family of discrete breathers, which exists in a nonlinear polarizability model of ferroelectric materials. The core-shell model is set up in its non-dimensionalized Hamiltonian form and its linear spectrum is examined.…

Computational Physics · Physics 2015-06-03 C. Hoogeboom , P. G. Kevrekidis , A. Saxena , A. R. Bishop

We study the thermodynamics of discrete breathers by transforming a lattice of weakly coupled nonlinear oscillators into an effective Ising pseudospin model. We introduce a replica ensemble and investigate the effective system…

Statistical Mechanics · Physics 2007-05-23 M. Eleftheriou , G. P. Tsironis

We consider a two-dimensional Fermi-Pasta-Ulam (FPU) lattice with hexagonal symmetry. Using asymptotic methods based on small amplitude ansatz, at third order we obtain a reduction to a cubic nonlinear Schrodinger equation (NLS) for the…

Pattern Formation and Solitons · Physics 2009-11-11 Imran A Butt , Jonathan A D Wattis

Reconstructive transformations in layered silicates need a high tem- perature in order to be observed. However, very recently, some systems have been found where transformation can be studied at temperatures 600 C below the lowest…

Pattern Formation and Solitons · Physics 2007-06-13 J. F. R. Archilla , J Cuevas , M. D. Alba , M. Naranjo , J. M. Trillo

We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques. Particles are confined by a parabolic potential,…

Other Condensed Matter · Physics 2009-11-13 Simone Montangero , Rosario Fazio , Peter Zoller , Guido Pupillo

The dynamics of static and travelling breathers in two-species Bose-Einstein condensates in a one-dimensional optical lattice is modelled within the tight-binding approximation. Two coupled discrete nonlinear Schr\"odinger equations…

Pattern Formation and Solitons · Physics 2015-06-19 Russell Campbell , Gian-Luca Oppo , Mateusz Borkowski

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