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A model including two nonlinear chains with linear and nonlinear couplings between them, and opposite signs of the discrete diffraction inside the chains, is introduced. For [$\chi ^{(3)}$] nonlinearity, the model finds two different…

斑图形成与孤子 · 物理学 2009-11-10 P. G. Kevrekidis , B. A. Malomed , Z. Musslimani

The existence and stability of defect solitons supported by parity-time (PT) symmetric superlattices with nonlocal nonlinearity are investigated. In the semi-infinite gap, in-phase solitons are found to exist stably for positive or zero…

光学 · 物理学 2012-04-17 Sumei Hu , Daquan Lu , Xuekai Ma , Qi Guo , Wei Hu

We describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain…

斑图形成与孤子 · 物理学 2007-05-23 Andrey A. Sukhorukov

We introduce novel optical solitons that consist of a periodic and a spatially localized components coupled nonlinearly via cross-phase modulation. The spatially localized optical field can be treated as a gap soliton supported by the…

斑图形成与孤子 · 物理学 2009-11-10 Anton S. Desyatnikov , Elena A. Ostrovskaya , Yuri S. Kivshar , Cornelia Denz

Topological dislocations in otherwise periodic lattices represent global structural defects that, nevertheless, typically leave the lattice periodicity intact far from the dislocation. Such dislocations arise in diverse physical systems…

We analyze nonlinear collective effects in periodic systems with multi-gap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We demonstrate that the inter-band interactions in nonlinear…

斑图形成与孤子 · 物理学 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

We report on existence and properties of discrete gap solitons in zigzag arrays of alternating waveguides with positive and negative refractive indices. Zigzag quasi-one-dimensional configuration of waveguide array introduces strong…

斑图形成与孤子 · 物理学 2015-09-16 Alexander A. Dovgiy , Ilya S. Besedin

We show that periodic optical lattices imprinted in cubic nonlinear media with strong two-photon absorption and localized linear gain landscapes support stable dissipative defect modes in both focusing and defocusing media. Their shapes and…

We address the impact of asymmetric nonlocal diffusion nonlinearity on the properties of gap solitons supported by photorefractive crystal with an imprinted optical lattice. We reveal how the asymmetric nonlocal response alters the domains…

斑图形成与孤子 · 物理学 2009-11-11 Zhiyong Xu , Yaroslav V. Kartashov , Lluis Torner

Electromagnetic localization and existence of gap solitons in nonlinear metamaterials, which exhibit a stop band in their linear spectral response, is theoretically investigated. For a self-focusing Kerr nonlinearity, the equation for the…

光学 · 物理学 2009-11-13 Stefano Longhi

We analyze nonlinear collective effects near surfaces of semi-infinite periodic systems with multi-gap transmission spectra and introduce a novel concept of multi-gap surface solitons as mutually trapped surface states with the components…

We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrodinger equation with a sinusoidal potential, such as photonic crystals, waveguide arrays,…

斑图形成与孤子 · 物理学 2007-05-23 Dmitry E. Pelinovsky , Andrey A. Sukhorukov , Yuri S. Kivshar

We introduce a models for two coupled waves propagating in a hollow-core fiber: a linear dispersionless core mode, and a dispersive nonlinear quasi-surface one. The linear coupling between them may open a bandgap, through the mechanism of…

斑图形成与孤子 · 物理学 2009-11-10 I. M. Merhasin , Boris A. Malomed

We analyze the existence, bifurcations, and shape transformations of one-dimensional gap solitons (GSs) in the first finite bandgap induced by a periodic potential built into materials with local self-focusing and nonlocal self-defocusing…

光学 · 物理学 2015-05-28 Kuan-Hsien Kuo , YuanYao Lin , Ray-Kuang Lee , Boris A. Malomed

Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focusing nonlinear Schrodinger equation. Two main interaction…

斑图形成与孤子 · 物理学 2018-10-24 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

A long wavelength optical lattice is generated in a two-level medium by low-frequency contrapropagating beams. Then a short wave length gap soliton generated by evanescent boundary instability (supratransmission) undergoes a dynamics shown…

其他凝聚态物理 · 物理学 2015-05-14 Ramaz Khomeriki , Jerome Leon

The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear periodic potential we use a periodic…

其他凝聚态物理 · 物理学 2009-12-23 Yu. V. Bludov , V. V. Konotop , M. Salerno

We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice (NOL). Different regimes for transmission of a broad and a narrow soliton are investigated. Reflections…

量子气体 · 物理学 2015-05-13 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Marijana Brtka , Lauro Tomio

The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are found to exhibit strong transmission (reflection) around…

光学 · 物理学 2023-07-19 Mark J. Ablowitz , Yi-Ping Ma

The propagation of solitons in dipolar BEC in a trap potential with a barrier potential is investigated. The regimes of soliton transmission, reflection and splitting as a function of the ratio between the local and dipolar nonlocal…

斑图形成与孤子 · 物理学 2013-07-17 F. Kh. Abdullaev , V. A. Brazhnyi