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We report on the study of indirect excitons in moving lattices - conveyers created by a set of AC voltages applied to the electrodes on the sample surface. The wavelength of this moving lattice is set by the electrode periodicity, the…

The engineering of localised modes in photonic structures is one of the main targets of modern photonics. An efficient strategy to design these modes is to use the interplay of constructive and destructive interference in periodic photonic…

The dynamics of localized excitations in array of Bose-Einstein condensates is investigated in the framework of the nonlinear lattice theory. The existence of temporarily stable ground states displaying an atomic population distributions…

Soft Condensed Matter · Physics 2009-11-07 F. Kh. Abdullaev , B. B. Baizakov , S. A. Darmanyan , V. V. Konotop , M. Salerno

We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized and time periodic solutions) in DNLS lattices with power nonlinearity. The estimation depending explicitly on the…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , N. I. Karachalios , F. Palmero

We report on the existence of discrete breathers in a one-dimensional, mass-in-mass chain with linear intersite coupling and nonlinear Hertzian local resonators, which is motivated by recent studies of the dynamics of microspheres adhered…

Pattern Formation and Solitons · Physics 2017-03-01 S. P. Wallen , J. Lee , D. Mei , C. Chong , P. G. Kevrekidis , N. Boechler

We investigate linear interference effects between a nonlinear plane wave and bright solitons, which are admitted by pair-transition coupled two-component Bose-Einstein condensate. We demonstrate the interference effects can induce several…

Quantum Gases · Physics 2018-02-07 Y. H. Qin , L. C. Zhao , Z. Y. Yang , W. L. Yang

The occurrence of single- or multisite localized vibrational modes, also called Discrete Breathers (DBs), in 2D hexagonal dusty plasma (DP) lattices is investigated. The system is described by a Klein-Gordon hexagonal lattice characterized…

Pattern Formation and Solitons · Physics 2015-05-13 V. Koukouloyannis , I. Kourakis

We show, through analytical theory and rigorous numerical calculations, that optical binding can organize a collection of particles into stable one-dimensional lattice. This lattice, as well as other optically-bound structures, are shown to…

Other Condensed Matter · Physics 2009-11-11 Jack Ng , C. T. Chan

In the present work we revisit the existence, stability and dynamical properties of moving discrete breathers in $\beta$-FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of…

Pattern Formation and Solitons · Physics 2022-04-27 H. Duran , J. Cuevas-Maraver , P. G. Kevrekidis , A. Vainchtein

We introduce a discrete linear lossy system with an embedded "hot spot" (HS), i.e., a site carrying linear gain and complex cubic nonlinearity. The system can be used to model an array of optical or plasmonic waveguides, where selective…

Optics · Physics 2016-11-26 Boris A. Malomed , Edwin Ding , K. W. Chow , S. K. Lai

We prove the existence of exponentially localised and time-periodic solutions in general nonlinear Hamiltonian lattice systems. Like normal modes, these localised solutions are characterised by collective oscillations at the lattice sites…

Pattern Formation and Solitons · Physics 2016-07-14 Dirk Hennig

The long time diffusive behaviour of intrinsic localised modes (discrete breathers) in the discrete damped-driven sine-Gordon chain under Gaussian white noise (to simulate temperature) is studied. We present a theoretical model for an…

Pattern Formation and Solitons · Physics 2007-05-23 Matthias Meister , Luis Vazquez

By driving with a microwave pulse the lowest frequency antiferromagnetic resonance of the quasi 1-D biaxial antiferromagnet (C_2 H_5 NH_3)_2 CuCl_4 into an unstable region intrinsic localized spin waves have been generated and detected in…

chao-dyn · Physics 2009-10-31 U. T. Schwarz , L. Q. English , A. J. Sievers

We discuss the formation of guided modes localized at the interface separat- ing two different periodic photonic lattices. Employing the effective discrete model, we analyze linear and nonlinear interface modes and also predict the…

Pattern Formation and Solitons · Physics 2015-06-26 M. I. Molina , Y. S. Kivshar

We study nonlinear phonon excitations in a one-dimensional quantum nonlinear lattice model using numerical exact diagonalization. We find that multi-phonon bound states exist as eigenstates which are natural counterparts of breather…

Condensed Matter · Physics 2009-10-28 W. Z. Wang , J. Tinka Gammel , A. R. Bishop , M. I. Salkola

The properties of the localized states of a two component Bose-Einstein condensate confined in a nonlinear periodic potential [nonlinear optical lattice] are investigated. We reveal the existence of new types of solitons and study their…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

The spatiotemporal complexity induced by perturbed initial excitations through the development of modulational instability in nonlinear lattices with or without disorder, may lead to the formation of very high amplitude, localized transient…

Disordered Systems and Neural Networks · Physics 2019-07-19 G. P. Tsironis , N. Lazarides , A Maluckov , Lj. Hadzievski

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

The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a…

Quantum Gases · Physics 2015-05-28 S. Rojas-Rojas , R. A. Vicencio , M. I. Molina , F. Kh. Abdullaev

We explore the dynamics of strongly localized periodic solutions (discrete solitons, or discrete breathers) in a finite one-dimensional chain of asymmetric vibro-impact oscillators. The model involves a parabolic on-site potential with…

Pattern Formation and Solitons · Physics 2017-01-12 I. Grinberg , O. V. Gendelman
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