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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

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

The properties of vector vortex beams in vertical-cavity-surface emitting lasers with frequency-selective feedback is investigated. They are interpreted as high-order vortex solitons with a spatially non-uniform, but locally linear…

Pattern Formation and Solitons · Physics 2022-10-27 T. Ackemann , T. Guillet , H. Pulham , G. -L. Oppo

We propose a hybrid soliton-based system consisting of a centrosymmetric photorefractive crystal, supporting photorefractive solitons, coupled to a vertical cavity surface emitting laser, supporting multistable cavity solitons. The…

We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schr\"odinger (NLS) equations, where the gain-and-loss parameter contributes to the…

Pattern Formation and Solitons · Physics 2020-10-22 O. B. Kirikchi , N. Karjanto

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

This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modulation of the local strength and sign of…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Boris A. Malomed , Lluis Torner

Solitary waves, dubbed "solitons", are special types of waves that propagate for an infinite distance under ideal conditions. These waves are ubiquitously found in nature such as typhoon or neuron signals. Yet, their artificial generation…

Soft Condensed Matter · Physics 2020-07-20 Satoshi Aya , Fumito Araoka

We predict that stable mobile spatio-temporal solitons can exist in arrays of periodically curved optical waveguides. We find two-dimensional light bullets in one-dimensional arrays with harmonic waveguide bending and three-dimensional…

We demonstrate that periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schr\"{o}dinger (DNLS) equation can strongly facilitate creation of traveling solitons in the lattice. We predict this possibility in an…

Other Condensed Matter · Physics 2015-05-25 Jesus Cuevas , Boris A. Malomed , Panayotis G. Kevrekidis

We address the concept of guiding and transporting matter-wave solitons along the channels of optical lattices made by interference patterns of beams containing topological wavefront dislocations. The local lattice distortions that occur…

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

Motivated by recent experimental achievement in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the…

Other Condensed Matter · Physics 2010-12-10 P. G. Kevrekidis , D. J. Frantzeskakis , R. Carretero-Gonzalez , B. A. Malomed , G. Herring , A. R. Bishop

We numerically study Stokes beam generation in an array of discrete waveguides. The feasibility of generation and steering of spatial solitons due to nonlinear Raman response is demonstrated for the first time

Pattern Formation and Solitons · Physics 2007-05-23 Clark A. Merchant , Igor V. Mel'nikov , J. Stewart Aitchison

We experimentally observe soliton self-organization and pulsation in a passively mode-locked fiber laser. The optomechanical interaction in the optical fiber is key to the formation of equidistant soliton bunches. These solitons…

We derive the equations governing the motion of Kerr solitons in pair waveforms. Recent experiments in microresonators have studied a variety of interaction effects in multisoliton waveforms, including collisions and formation of soliton…

Pattern Formation and Solitons · Physics 2025-07-11 Amir Leshem , Sanzida Akter , Logan Courtright , Pradyoth Shandilya , Curtis R. Menyuk , Omri Gat

Radial solitons are investigated in armchair carbon nanotubes using a generalized Lennard-Jones potential. The radial solitons are found in terms of moving kink defects whose velocity obeys a dispersion relation. Effects of lattice…

Pattern Formation and Solitons · Physics 2009-11-10 A. M. Dikande

We address the formation of topological states in twisted circular waveguide arrays and find that twisting leads to important differences of the fundamental properties of new vortex solitons with opposite topological charges that arise in…

We suggest a method for creating bright matter solitons by loading a BEC of atoms in a driven tilted optical lattice. It is shown that one can realize the self-focussing regime for the wave-packet dynamics by properly adjusting the phase of…

Quantum Gases · Physics 2015-05-18 Andrey R. Kolovsky

Optical tweezers use laser light to trap and move microscopic particles in space. Here we demonstrate a similar control over ultrashort light pulses, but in time. Our experiment involves temporal cavity solitons that are stored in a passive…

Optics · Physics 2015-08-05 Jae K. Jang , Miro Erkintalo , Stephane Coen , Stuart G. Murdoch

We study experimentally the interaction of a soliton with a nonlinear lattice. We observe the formation of a novel type of composite soliton created by strong coupling of mutually incoherent periodic and localized beam components. By…

Pattern Formation and Solitons · Physics 2009-11-10 Dragomir Neshev , Yuri S. Kivshar , Hector Martin , Zhigang Chen