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Related papers: Dark solitons in dual-core waveguides with dispers…

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We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realization of parity-time symmetry in nonlinear optics. The main…

Optics · Physics 2013-03-18 Yuliy V. Bludov , Vladimir V. Konotop , Boris A. Malomed

We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-component model supports a variety of coexisting moving solitons…

Pattern Formation and Solitons · Physics 2022-10-11 A. V. Yulin , D. A. Zezyulin

We construct families of optical semi-discrete composite solitons (SDCSs), with one or two independent propagation constants, supported by a planar slab waveguide, XPM-coupled to a periodic array of stripes. Both structures feature the…

Optics · Physics 2009-11-13 N. -C. Panoiu , B. A. Malomed , R. M. Osgood

Dark solitons and localized defect modes against periodic backgrounds are considered in arrays of waveguides with defocusing Kerr nonlinearity constituting a nonlinear lattice. Bright defect modes are supported by local increase of the…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Vladimir V. Konotop , Xiaowei Lu , Yi Cai , Qifan Zhu , Jingzhen Li

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…

Pattern Formation and Solitons · Physics 2015-09-16 Alexander A. Dovgiy , Ilya S. Besedin

We study the excitations of dark solitons in a nonlinear optical fiber with the second- and fourth-order dispersion, and find the emergence of striped dark solitons (SDSs) and some multi-dark-soliton bound states. The SDSs can exhibit…

Pattern Formation and Solitons · Physics 2024-03-08 Peng Gao , Li-Zheng Lv , Xin Li

We construct families of discrete solitons (DSs) in an array of self-defocusing waveguides with an embedded $\mathcal{PT}$ (parity-time)-symmetric dimer, which is represented by a pair of waveguides carrying mutually balanced gain and loss.…

Pattern Formation and Solitons · Physics 2015-06-11 Zhiqiang Chen , Jiasheng Huang , Jinglei Chai , Xiangyu Zhang , Yongyao Li , Boris A. Malomed

We examine the existence and stability of discrete spatial solitons in coupled nonlinear lasing cavities (waveguide resonators), addressing the case of active defocusing media, where the gain exceeds damping in the low-amplitude limit. A…

We consider continuous-wave (CW) states and dark solitons (DSs) in a system of two fundamental-frequency (FF) and one second-harmonic (SH) waves in a planar waveguide with the quadratic nonlinearity, the FF components being linearly coupled…

Pattern Formation and Solitons · Physics 2009-11-10 Arthur Gubeskys , Boris A. Malomed

We demonstrate that an array of discrete waveguides on a slab substrate, both featuring the $\chi^{2}$ nonlinearity, supports stable solitons composed of discrete and continuous components. Two classes of fundamental composite solitons are…

Pattern Formation and Solitons · Physics 2009-11-11 Nicolae C. Panoiu , Richard M. Osgood , Boris A. Malomed

We show theoretically that dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying a much greater variety of possible solutions and dynamics…

Pattern Formation and Solitons · Physics 2022-03-09 Tristram J. Alexander , G. A. Tsolias , A. Demirkaya , Robert J. Decker , C. Martijn de Sterke , P. G. Kevrekidis

We report the existence of vectorial dark dissipative solitons in optical cavities subject to a coherently injected beam. We assume that the resonator is operating in a normal dispersion regime far from any modulational instability. We show…

Pattern Formation and Solitons · Physics 2021-07-29 B. Kostet , S. S. Gopalakrishnan , E. Averlant , Y. Soupart , K. Panajotov , M. Tlidi

We propose a possibility to simulate the exciton-polariton (EP) system in the lossless limit, which is not currently available in semiconductor microcavities, by means of a simple optical dual-core waveguide, with one core carrying the…

Optics · Physics 2014-10-14 Luca Salasnich , Boris A. Malomed , Flavio Toigo

We introduce a mechanism to stabilize spatiotemporal solitons in Kerr nonlinear media, based on the dispersion of linear coupling between the field components forming the soliton states. Specifically, we consider solitons in a two-core…

We present three types of dark solitons in quasi-one-dimensional spin-orbit coupled repulsive Bose-Einstein condensates. Among these families, two are always stable, while the third one is only stable sufficiently close to the linear…

Quantum Gases · Physics 2013-08-06 V. Achilleos , J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

We study a two-component nonlinear Schr{\"{o}}dinger system with equal, repulsive cubic interactions and different dispersion coefficients in the two components. We consider states that have a dark solitary wave in one component. Treating…

Pattern Formation and Solitons · Physics 2015-01-28 E. G. Charalampidis , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

We predict that strong coupling between waveguide photons and excitons of quantum well embedded into waveguide results in the formation of hybrid dark and anti-dark light-matter solitons. Such temporal solitons exist due to interplay…

Optics · Physics 2016-05-04 Yaroslav V. Kartashov , Dmitry V. Skryabin

We consider dark solitons and their stability in spin-orbit coupled polariton condensates. The system supports spinor solitons of two types: conventional (symmetric) dark solitons and asymmetric half-dark solitons. They demonstrate…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Dmitry A. Zezyulin , Yaroslav V. Kartashov

Solitons are shape preserving waveforms that are ubiquitous across nonlinear dynamical systems and fall into two separate classes, that of bright solitons, formed in the anomalous group velocity dispersion regime, and `dark solitons' in the…

The optical Kerr micro-ring provides an ideal platform for the study of dissipative optical solitons. Dissipative solitons are localized waves produced by a precise equilibrium between dispersion and nonlinearity, as well as gain and loss.…

Optics · Physics 2025-07-15 Zijian Zhang , Chaoying Zhao
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