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We study the interactions of a Bragg-grating soliton with a localized attractive defect which is a combined perturbation of the grating and refractive index. A family of exact analytical solutions for solitons trapped by the delta-like…

Pattern Formation and Solitons · Physics 2009-11-07 William C. K. Mak , Pak L. Chu , Boris A. Malomed

We discuss the formation of self-trapped localized states near the edge of a semi-infinite array of nonlinear waveguides. We study a crossover from nonlinear surface states to discrete solitons by analyzing the families of odd and even…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

We study numerically and experimentally supercontinuum generation in optical fibers with dark and bright solitons simultaneously contributing into the spectral broadening and dispersive wave generation. We report a novel type of weak…

A standing-wave control field applied to a three-level atomic medium in a planar hollow-core photonic crystal waveguide creates periodic variations of linear and nonlinear refractive indexes of the medium. This property can be used for…

Optics · Physics 2015-05-18 Chao Hang , V. V. Konotop

Optical solitons in multimode fibers have been predicted 40 years ago and extensively investigated theoretically. Transmission experiments in nonlinear multimode fibers have gained renewed interest, motivated by their potential to extend…

Optics · Physics 2024-04-02 Mario Zitelli

We report results of the investigation of gap solitons (GSs) in the generic model of a periodically modulated Bragg grating (BG), which includes periodic modulation of the BG chirp or local refractive index, and periodic variation of the…

Pattern Formation and Solitons · Physics 2009-11-13 Thawatchai Mayteevarunyoo , Boris A. Malomed

We study numerically a discrete, nonlinear lattice, which is formed by a chain of pendula submitted to a harmonic-driving source with constant amplitude and parametrical excitation. A supratransmission phenomenon is obtained after the…

Pattern Formation and Solitons · Physics 2024-01-30 Alain Bertrand Togueu Motcheyo , Masayuki Kimura , Yusuke Doi , Juan F. R. Archilla

Using the variational approximation and numerical simulations, we study one-dimensional gap solitons in a binary Bose-Einstein condensate trapped in an optical-lattice potential. We consider the case of inter-species repulsion, while the…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

This letter reports experimental results on a new type of soliton: the random temporal dark soliton. One excites an incoherent large-amplitude propagating spin-wave packet in a ferromagnetic film strip with a repulsive, instantaneous…

Mesoscale and Nanoscale Physics · Physics 2010-05-06 Wei Tong , Mingzhong Wu , Lincoln D. Carr , Boris A. Kalinikos

We have shown that the wave scattering by a soliton occurs in a peculiar way. The nonlinear interaction leads to the generation of waves with frequencies that are multiples of the frequency of the incident wave, minus the frequency of the…

Pattern Formation and Solitons · Physics 2023-12-12 A. S. Dmitriev , E. A. Dmitrieva , A. G. Panin

We study the optical oscillations of supermodes in planar optical waveguide arrays with parabolically graded propagation constant in individual waveguide interacting through nearest neighbor couplings. In these arrays, we have identified a…

Optics · Physics 2010-05-26 Ming Jie Zheng , Yun San Chan , Kin Wah Yu

We observe dark and bright intrinsic localized modes (ILMs) or discrete breathers (DB) experimentally and numerically in a diatomic-like electrical lattice. The generation of dark ILMs by driving a dissipative lattice with…

Pattern Formation and Solitons · Physics 2019-03-13 F. Palmero , L. Q. English , Xuan-Lin Chen , Weilun Li , Jesús Cuevas-Maraver , P. G. Kevrekidis

We study the formation of gap solitons in the presence of parametric pump. It is shown that parametric pump can stabilize stationary solitons continuously emitting dispersive waves. The resonant interactions of the radiation and the…

Optics · Physics 2015-06-19 Alexey V. Yulin , Leonardo R. Gorjão , Kestutis Staliunas

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 have developed an analytical model based on the perturbation theory in order to study the optical propagation of two successive intense solitons in hollow-core photonic crystal fibers filled with Raman-active gases. Based on the time…

We examine collisions of moving solitons in a fiber Bragg grating with a triplet composed of two closely set repulsive defects of the grating and an attractive one inserted between them. A doublet (dipole), consisting of attractive and…

Pattern Formation and Solitons · Physics 2009-11-13 Peter Y P Chen , Boris A Malomed , Pak L Chu

We investigate numerically the interactions of two in-phase and out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media, in one transverse dimension. We find that bound and unbound soliton pairs, as…

Pattern Formation and Solitons · Physics 2013-12-13 Yiqi Zhang , Milivoj Belić , Zhenkun Wu , Huaibin Zheng , Keqing Lu , Yuanyuan Li , Yanpeng Zhang

We address the existence and properties of optical solitons excited in thermal nonlinear media with a transverse refractive index gradient. We show that in such a geometry one can generate controllable switching from surface soliton…

Optics · Physics 2015-05-14 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , 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…

Optics · Physics 2009-11-13 Stefano Longhi

By integrating the full Maxwell's equations we predict the existence of gap solitons in a quadratic, Fabry-Perot negative index cavity. An intense, fundamental pump pulse shifts the band structure that forms when magnetic and electric…