Frontiers in multidimensional self-trap** of nonlinear fields and matter

YV Kartashov, GE Astrakharchik, BA Malomed… - Nature Reviews …, 2019 - nature.com
Abstract 2D and 3D solitons and related states, such as quantum droplets, can appear in
optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other …

Optical solitons and vortices in fractional media: a mini-review of recent results

BA Malomed - Photonics, 2021 - mdpi.com
The article produces a brief review of some recent results which predict stable propagation
of solitons and solitary vortices in models based on the nonlinear Schrödinger equation …

Spatiotemporal optical solitons

BA Malomed, D Mihalache, F Wise… - Journal of Optics B …, 2005 - iopscience.iop.org
In the course of the past several years, a new level of understanding has been achieved
about conditions for the existence, stability, and generation of spatiotemporal optical …

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 …

Strongly anisotropic vortices in dipolar quantum droplets

G Li, Z Zhao, X Jiang, Z Chen, B Liu, BA Malomed… - Physical Review Letters, 2024 - APS
We construct strongly anisotropic quantum droplets with embedded vorticity in the 3D space,
with mutually perpendicular vortex axis and polarization of atomic magnetic moments …

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 …

Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications

AV Buryak, P Di Trapani, DV Skryabin, S Trillo - Physics Reports, 2002 - Elsevier
We present an overview of nonlinear phenomena related to optical quadratic solitons—
intrinsically multi-component localized states of light, which can exist in media without …

Rogue waves in nonlinear optics

M Tlidi, M Taki - Advances in Optics and Photonics, 2022 - opg.optica.org
Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

Two-dimensional vortex quantum droplets

Y Li, Z Chen, Z Luo, C Huang, H Tan, W Pang… - Physical Review A, 2018 - APS
It was recently found that the Lee-Huang-Yang (LHY) correction to the mean-field
Hamiltonian of binary atomic boson condensates suppresses the collapse and creates …

Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity

P Li, BA Malomed, D Mihalache - Chaos, Solitons & Fractals, 2020 - Elsevier
We address the existence and stability of vortex-soliton (VS) solutions of the fractional
nonlinear Schrödinger equation (NLSE) with competing cubic-quintic nonlinearities and the …