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Soliton dynamics in a large variety of longitudinally modulated lattices are studied in terms of phase space analysis for an effective particle approach and direct numerical simulations. Complex soliton dynamics are shown to depend strongly…

Pattern Formation and Solitons · Physics 2015-03-19 Panagiotis Papagiannis , Yannis Kominis , Kyriakos Hizanidis

The dynamics of several light filaments (spatial optical solitons) propagating in an optically nonlinear and non-local random medium is investigated using the paradigms of the physics of complexity. Cluster formation is interpreted as a…

Optics · Physics 2007-05-23 Claudio Conti

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 describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov

I review the historical observation and subsequent research on optical soliton dynamics in gas-filled hollow-core optical fibres. I include both large-core hollow capillary fibres, and hollow-core photonic-crystal or microstructured fibres…

Optics · Physics 2023-11-30 John C. Travers

Dissipative solitons are remarkable localized states of a physical system that arise from the dynamical balance between nonlinearity, dispersion and environmental energy exchange. They are the most universal form of soliton that can exist…

Optics · Physics 2017-06-30 P. Ryczkowski , M. Närhi , C. Billet , J. -M. Merolla , G. Genty , J. M. Dudley

We have reviewed recent developments of some aspects of optical spatial solitons in photorefractive media. Underlying principles governing the dynamics of photorefractive nonlinearity have been discussed using band transport model.…

Optics · Physics 2012-09-12 S. Konar , Anjan Biswas

This concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e., self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison…

Pattern Formation and Solitons · Physics 2023-12-29 Boris A. Malomed

Driven optical cavities containing a nonlinear medium support stable dissipative solitons, cavity solitons, in the form of bright or dark spots of light on a uniformly-lit background. Broadening effects due to diffraction or group velocity…

Optics · Physics 2025-09-09 Gian-Luca Oppo , William J. Firth

In this paper, we employ, for the first time, the holographic gravity approach to investigate the dynamical stability of solitons in spherical superfluids. Transverse perturbations are applied to the background of spherical soliton…

High Energy Physics - Theory · Physics 2025-10-29 Meng Gao , Yu Tian , Changxu Yan , Hongbao Zhang

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

Optical solitons are self-sustained wave packets that propagate without distortion due to a balance between dispersion and nonlinearity. Their unique stability underpins key photonic applications while also playing a central role in…

Pattern Formation and Solitons · Physics 2025-12-04 François Copie , Pierre Suret , Stéphane Randoux

Solitons are commonly known as waves that propagate without dispersion. Here we show that they can occur for driven overdamped Brownian dynamics of hard spheres in periodic potentials at high densities. The solitons manifest themselves as…

Statistical Mechanics · Physics 2022-08-25 Alexander P. Antonov , Artem Ryabov , Philipp Maass

We construct families of one-dimensional (1D) stable solitons in two-component $\mathcal{PT}$-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light…

Optics · Physics 2022-03-02 Gennadiy Burlak , Zhaopin Chen , Boris A. Malomed

Solitons occur in many physical systems when a nonlinearity compensates wave dispersion. Their recent formation in microresonators opens a new research direction for nonlinear optical physics and provides a platform for miniaturization of…

Optics · Physics 2017-05-04 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

Interactions between solitary waves have been pivotal to understanding nonlinear phenomena across various disciplines. The dynamics of rarefaction solitary waves holds great potential, yet their fundamental characteristics and interactions…

Pattern Formation and Solitons · Physics 2025-05-21 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

We analyze the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) ``dynamical superlattices'' can be used to controllably place, guide,…

Other Condensed Matter · Physics 2016-08-16 Mason A. Porter , P. G. Kevrekidis , R. Carretero-González , D. J. Frantzeskakis

When a laser cavity supports the propagation of several ultrashort pulses, these pulses interact and can form compact bound states called soliton molecules. Soliton molecules are fascinating objects of nonlinear science, which present…

Optics · Physics 2022-11-08 Youjian Song , Defeng Zou , Omri Gat , Minglie Hu , Philippe Grelu

Microcavity polaritons are composite half-light half-matter quasi-particles, which have recently been demonstrated to exhibit rich physical properties, such as non-equilibrium Bose-Einstein condensation, parametric scattering and…

We put forward new properties of lattice solitons in materials and geometries where both, the linear refractive index and the nonlinearity are spatially modulated. We show that the interplay between linear and out-of-phase nonlinear…

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