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Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science---and in physics in particular. Flat-top solitons are a novel type of…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

We present a design and protocol to add binary numbers using discrete solitons in waveguide arrays. We show that the nonlinear interaction between discrete solitons in waveguide arrays can be exploited to design half and full adders. By…

Optics · Physics 2021-08-04 Alaa Shaheen , Amaria Javed , U. Al Khawaja

We analyze photo-refractive incoherent soliton beams and their interactions in Kerr-like nonlinear media. The field in each of M incoherently interacting components is calculated using an integrable set of coupled nonlinear Schrodinger…

patt-sol · Physics 2007-05-23 Andrey A. Sukhorukov , Nail N. Akhmediev

A new type of long-lived solitary structures for paraxial optics with two circular polarizations of light in a homogeneous defocusing Kerr medium with an anomalous group velocity dispersion has been revealed numerically in the coupled…

Optics · Physics 2023-05-31 Victor P. Ruban

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…

We demonstrate polarization multiplexed dissipative Kerr solitons in an on-chip silicon nitride micro-resonator. In our experiment, TE- and TM-polarized soliton can be individually generated and controlled, thanks to their weak mutual…

Optics · Physics 2022-08-10 Yong Geng , Yanlan Xiao , Xinjie Han , Kun Qiu , Jing Xu , Heng Zhou

We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that, even in the absence of any external trapping potential, a soliton can be confined due to the inhomogeneous…

Soft Condensed Matter · Physics 2009-11-11 G. Theocharis , P. Schmelcher , P. G. Kevrekidis , D. J. Frantzeskakis

The article provides a survey of (chiefly, theoretical) results obtained for self-trapped modes (solitons) in various models of one-dimensional optical waveguides based on a pair of parallel guiding cores, which combine the linear…

Optics · Physics 2017-09-18 Boris A. Malomed

We implement variational shortcuts to adiabaticity for optical pulse compression in an active nonlinear Kerr medium with distributed amplification and spatially varying dispersion and nonlinearity. Starting with the hyperbolic secant…

Optics · Physics 2026-01-01 Yingjia Li , Koushik Paul , David Novoa , Xi Chen

We investigate a bi-directionally coupled system consisting of a Kerr-nonlinear microresonator and a continuous-wave single-mode semiconductor laser. Inside the resonator, a forward-propagating and a backscattered field interact…

Optics · Physics 2026-04-27 L. Bengel , H. Peng , B. de Rijk , C. Koos , W. Reichel

We introduce the simplest model to describe parametric interactions in a quadratically nonlinear optical medium with the fundamental harmonic containing two components with (slightly) different carrier frequencies [which is a direct analog…

Pattern Formation and Solitons · Physics 2009-11-07 I. N. Towers , B. A. Malomed

We consider the interaction of a nonlinear Schrodinger soliton with a localized (point) defect in the medium through which it travels. Using numerical simulations, we find parameter regimes under which the soliton may be reflected,…

Pattern Formation and Solitons · Physics 2007-05-23 R. H. Goodman , P. J. Holmes , M. I. Weinstein

Strongly interacting solitons confined to an optical resonator would offer unique capabilities for experiments in communication, computation, and sensing with light. Here we report on the discovery of soliton crystals in monolithic Kerr…

We predict multiband vector Plasmonic Lattice Solitons (PLSs) in metal-dielectric waveguide arrays, in both focusing and defocusing nonlinearities. Such vector solitons consist of two components originating from different transmission…

Optics · Physics 2015-06-15 Yao Kou , Fangwei Ye , Xianfeng Chen

Soliton microcombs based on Kerr nonlinearity in microresonators have been a prominent miniaturized coherent light source. Here, for the first time, we demonstrate the existence of Kerr solitons in an optomechanical microresonator, for…

We report how a doublet of the symmetric oppositely tilted bistable resonance peaks in a microring resonator with quadratic nonlinearity set for generation of the second harmonic can transform into a Kerr-like peak on one side of the linear…

Optics · Physics 2019-03-26 Alberto Villois , Dmitry V. Skryabin

Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-focused optical beams is found numerically with a high…

Optics · Physics 2026-02-10 Victor P. Ruban

Solitons are universal nonlinear excitations that appear in settings as varied as optics, water waves, and quantum gases [1-5]. While reduced models of soliton dynamics are well established, their validity and dynamical behaviour in…

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

Vortex solitons (dark solitons) are described in self-defocusing Kerr media whose phase line singularity is not parallel to the propagation direction, but is perpendicular or tilted almost arbitrary angles, depending on the medium linear…

Optics · Physics 2022-01-05 Miguel A. Porras