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Temporal-dissipative Kerr solitons are self-localized light pulses sustained in driven nonlinear optical resonators. Their realization in microresonators has enabled compact sources of coherent optical frequency combs as well as the study…

Vortex-carrying wave fields play a crucial role in photonics due to unusual propagation properties and interactions with matter, which enable numerous practical applications ranging from optical tweezers and imaging to information encoding…

We consider effects of anisotropy on solitons of various types in two-dimensional nonlinear lattices, using the discrete nonlinear Schr{\"{o}}dinger equation as a paradigm model. For fundamental solitons, we develop a variational…

Pattern Formation and Solitons · Physics 2010-12-10 P. G. Kevrekidis , D. J. Frantzeskakis , R. Carretero-Gonzalez , B. A. Malomed , A. R. Bishop

In this paper we announce the result of asymptotic dynamics of solitons of nonlinear Schrodinger equations with external potentials. To each local minima of the potential there is a soliton centered around it. Under some conditions on the…

Mathematical Physics · Physics 2007-05-23 Zhou Gang , I. M. Sigal

Relativistic solitons are self-trapped, finite size, electromagnetic waves of relativistic intensity that propagate without diffraction spreading. They have been predicted theoretically within the relativistic fluid approximation, and have…

Plasma Physics · Physics 2015-06-26 Daniela Farina , Sergei V. Bulanov

We consider exciton polaritons in a semiconductor microcavity with a saturable absorber in the growth direction of the heterostructure. This feature promotes additional nonlinear losses of the system with the emergence of bistability of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 D. V. Karpov , I. G. Savenko , H. Flayac , N. N. Rosanov

Topological defects in low-dimensional non-linear systems feature a sliding-to-pinning transition of relevance for a variety of research fields, ranging from biophysics to nano- and solid-state physics. We find that the dynamics after a…

Quantum Physics · Physics 2020-08-12 L. Timm , H. Weimer , L. Santos , T. E. Mehlstäubler

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…

Discrete fundamental and dipole solitons are constructed, in an exact analytical form, in an array of linear waveguides with an embedded $\mathcal{PT}$-symmetric dimer, which is composed of two nonlinear waveguides carrying equal gain and…

We study stability and dynamics of the single cylindrically symmetric solitary structures and dipolar solitonic molecules in spatially nonlocal media. The main properties of the solitons, vortex solitons, and dipolar solitons are…

Pattern Formation and Solitons · Physics 2016-09-08 A. I. Yakimenko , V. M. Lashkin , O. O. Prikhodko

We predict the existence of a self-localized solution in a nonresonantly pumped exciton-polariton condensate. The solution has a shape resembling the well-known hyperbolic tangent profile of the dark soliton, but exhibits several distinct…

Pattern Formation and Solitons · Physics 2014-06-06 Yan Xue , Michal Matuszewski

Plastic deformation of micron and sub-micron scale specimens is characterized by intermittent sequences of large strain bursts (dislocation avalanches) which are separated by regions of near-elastic loading. In the present investigation we…

Materials Science · Physics 2009-11-13 M. Zaiser , J. Schwerdtfeger , A. S. Schneider , C. P. Frick , B. G. Clark , P. A. Gruber , E. Arzt

Brittle fracturing of materials is common in natural and industrial processes over a variety of length scales. Knowledge of individual particle dynamics is vital to obtain deeper insight into the atomistic processes governing crack…

Soft Condensed Matter · Physics 2024-04-25 Max Huisman , Axel Huerre , Saikat Saha , John C. Crocker , Valeria Garbin

Fluid pressure and flow in the crust is a key parameter controlling earthquake physics. Since earthquake slip is linked to spatio-temporal localisation of deformation, it is expected that the localised fluid pressure around the fault plane…

Geophysics · Physics 2020-04-01 Nicolas Brantut

The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centered at a lattice (potential) maximum are unstable, as they drift toward the nearest lattice…

Pattern Formation and Solitons · Physics 2009-11-13 Y. Sivan , G. Fibich , N. K. Efremidis , S. Bar-Ad

We consider a dense neutrino gas in the "fast-flavor limit" (vanishing neutrino masses). For the first time, we identify exact solutions of the nonlinear wave equation in the form of solitons. They can propagate with both sub- or…

High Energy Physics - Phenomenology · Physics 2025-10-17 Damiano F. G. Fiorillo , Georg Raffelt

We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

The interaction behavior of solitons are defining characteristics of these nonlinear, coherent structures. Due to recent experimental observations, thin ferromagnetic films offer a promising medium in which to study the scattering…

Mesoscale and Nanoscale Physics · Physics 2014-07-18 M. D. Maiden , L. D. Bookman , M. A. Hoefer

Nonlinear interactions in focusing media between traveling solitons and the dispersive shocks produced by an initial discontinuity are studied using the one-dimensional nonlinear Schrodinger equation. It is shown that, when solitons travel…

Chaotic Dynamics · Physics 2019-03-27 Gino Biondini , Jonathan Lottes

Recently, optical soliton propagation in an intrinsic nonlinear graphene monolayer configuration has been discovered. However, optical soliton behavior in a free-standing graphene monolayer with defects has not yet been studied. The…

Quantum Physics · Physics 2013-11-25 Frederick Ira Moxley , Tim Byrnes , Adarsh Radadia , Weizhong Dai
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