Vortex solitons: Old results and new perspectives

BA Malomed - Physica D: Nonlinear Phenomena, 2019 - Elsevier
A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

[HTML][HTML] Solitons in coupled nonlinear Schrödinger models: a survey of recent developments

PG Kevrekidis, DJ Frantzeskakis - Reviews in Physics, 2016 - Elsevier
In this review we try to capture some of the recent excitement induced by experimental
developments, but also by a large volume of theoretical and computational studies …

Chirped bright and kink solitons in nonlinear optical fibers with weak nonlocality and cubic-quantic-septic nonlinearity

Q Zhou, Y Zhong, H Triki, Y Sun, S Xu… - Chinese Physics …, 2022 - iopscience.iop.org
This work focuses on chirped solitons in a higher-order nonlinear Schrödinger equation,
including cubic-quintic-septic nonlinearity, weak nonlocal nonlinearity, self-frequency shift …

Solitons in Nonlinear Media with an Infinite Range of Nonlocality: First Observation<? format?> of Coherent Elliptic Solitons and of Vortex-Ring Solitons

C Rotschild, O Cohen, O Manela, M Segev, T Carmon - Physical review letters, 2005 - APS
We present an experimental study on wave propagation in highly nonlocal optically
nonlinear media, for which far-away boundary conditions significantly affect the evolution of …

Optical vortices and vortex solitons

AS Desyatnikov, YS Kivshar, L Torner - Progress in optics, 2005 - Elsevier
In physics, wave propagation is traditionally analyzed by means of regular solutions of wave
equations. However, solutions of wave equations in two and three dimensions often possess …

Laguerre and Hermite soliton clusters in nonlocal nonlinear media

D Buccoliero, AS Desyatnikov, W Krolikowski… - Physical review …, 2007 - APS
We introduce novel classes of higher-order spatial optical solitons in analogy with Laguerre-
Gaussian and Hermite-Gaussian linear eigenmodes. We reveal that stable higher-order …

Observation of attraction between dark solitons

A Dreischuh, DN Neshev, DE Petersen, O Bang… - Physical review …, 2006 - APS
We demonstrate a dramatic change in the interaction forces between dark solitons in
nonlocal nonlinear media. We present what we believe is the first experimental evidence of …

Semidiscrete quantum droplets and vortices

X Zhang, X Xu, Y Zheng, Z Chen, B Liu, C Huang… - Physical review …, 2019 - APS
We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion,
loaded in an array of nearly one-dimensional traps coupled by transverse hopping. With the …

Stable vortex solitons in nonlocal self-focusing nonlinear media

AI Yakimenko, YA Zaliznyak, Y Kivshar - Physical Review E—Statistical …, 2005 - APS
We reveal that spatially localized vortex solitons become stable in self-focusing nonlinear
media when the vortex symmetry-breaking azimuthal instability is eliminated by a nonlocal …

Theory of nonlocal soliton interaction in nematic liquid crystals

PD Rasmussen, O Bang, W Królikowski - Physical Review E—Statistical …, 2005 - APS
We investigate interactions between spatial nonlocal bright solitons in nematic liquid crystals
using an analytical (“effective particle”) approach as well as direct numerical simulations …