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We reveal that lattice interfaces imprinted in nonlocal nonlinear media support surface solitons that do not exist in other similar settings, including interfaces of local and nonlocal uniform materials. We show the impact of nonlocality on…

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

We have investigated mixed-gap vector solitons involving incoherently coupled fundamental and dipole components in a parity-time (PT) symmetric lattice with saturable nonlinearity. For the focusing case, vector solitons emerge from the…

Optics · Physics 2017-02-22 Lei Li , Xiaoguang Yu , Xing Zhu , Baiyuan Yang , Qianglin Hu , Xiaobing Luo

We study, both theoretically and experimentally, the scattering properties of optical dipole-mode vector solitons - radially asymmetric composite self-trapped optical beams. First, we analyze the soliton collisions in an isotropic…

An overview is given of basic models combining discreteness in their linear parts (i.e. the models are built as dynamical lattices) and nonlinearity acting at sites of the lattices or between the sites. The considered systems include the…

Pattern Formation and Solitons · Physics 2020-03-31 Boris A. Malomed

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…

Optics · Physics 2012-04-17 Sumei Hu , Daquan Lu , Xuekai Ma , Qi Guo , Wei Hu

We demonstrate theoretically and experimentally that the transverse instability of coherent soliton stripes can be greatly suppressed or totally eliminated when the soliton stripes propagate in a one-dimensional photonic lattice under…

Optics · Physics 2012-05-04 Jianke Yang , Daniel Gallardo , Alexandra Miller , Zhigang Chen

We use the cubic complex Ginzburg-Landau equation coupled to a dissipative linear equation as a model of lasers with an external frequency-selective feedback. It is known that the feedback can stabilize the one-dimensional (1D)…

Pattern Formation and Solitons · Physics 2015-05-27 P. V. Paulau , D. Gomila , P. Colet , B. A. Malomed , W. J. Firth

Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal nonlinearity in the equations results in the possibility of existence of stable 2D nonlinear…

Plasma Physics · Physics 2009-11-13 V. M. Lashkin

The usual cubic-quintic (CQ) nonlinearity is proved to sustain one- and two-dimensional (1D and 2D) broad (flat-top) solitons. In this work, we demonstrate that 1D and 2D soliton families can be supported, in the semi-infinite bandgap…

Pattern Formation and Solitons · Physics 2025-10-07 Liangwei Zeng , Boris A. Malomed , Dumitru Mihalache , Xing Zhu

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

The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are…

Pattern Formation and Solitons · Physics 2015-05-19 A. Maluckov , Lj. Hadzievski , B. A. Malomed

An optical four-level atomic discrete system through optical induction is proposed. A theoretical scheme to produce nonclassical lattice solitons (NLS) in the system is presented with the use of the effects of enhanced self-phase modulation…

Optics · Physics 2010-07-08 Yongyao Li , Zhonghui Yuan , Wei Pang , Yikun Liu

We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons…

Pattern Formation and Solitons · Physics 2007-05-23 Ilya Shadrivov , Alexander A. Zharov

We address the evolution of higher-order excited states, such as vortex and multi-hump solitons, in nonlocal media with synthetic, competing focusing and defocusing nonlinearities with different nonlocal transverse scales. We reveal that…

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

We investigate the interaction between a light beam and a two-dimensional photonic lattice that is photo-induced in a photorefractive crystal using partially coherent light. We demonstrate that this interaction process is associated with a…

Pattern Formation and Solitons · Physics 2009-11-10 Hector Martin , Eugenia D. Eugenieva , Zhigang Chen , Demetrios N. Christodoulides

We report on the experimental observation of a novel type of polarization locked vector soliton in a passively mode-locked fiber laser. The vector soliton is characterized by that not only the two orthogonally polarized soliton components…

Optics · Physics 2009-03-16 D. Y. Tang , H. Zhang , L. M. Zhao , X. Wu

Solitons and vortices obtain widespread attention in different physical systems as they offer potential use in information storage, processing, and communication. In exciton-polariton condensates in semiconductor microcavities, solitons and…

Optics · Physics 2017-04-19 Xuekai Ma , Oleg A. Egorov , Stefan Schumacher

We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets. In our experiments, we arrange a lattice in a hexagonal…

We study the properties of linear and nonlinear waveguides induced by optical vortex solitons in both self-defocusing and self-focusing nonlinear media, for the case of a saturable nonlinear response. We demonstrate that the vortex-induced…

Pattern Formation and Solitons · Physics 2007-05-23 José R. Salgueiro , Yuri S. Kivshar

It is shown that the pair plasmas with small temperature asymmetry can support existence of localized as well as de-localized optical vortex solitons. Coexistence of such solitons is possible due to peculiar form of saturating nonlinearity…

Plasma Physics · Physics 2013-05-29 V. I. Berezhiani , S. M. Mahajan , N. L. Shatashvili