On multidimensional solitons and their legacy in contemporary Atomic, Molecular and Optical physics

  title={On multidimensional solitons and their legacy in contemporary Atomic, Molecular and Optical physics},
  author={Boris A. Malomed and Lluis Torner and Frank W. Wise and Dumitru Mihalache},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
This viewpoint relates to an article by B A Malomed, D Mihalache, F Wise, and L Torner (2005 J. Opt. B: Quantum Semiclass. Opt. 7 R53–R72) and was published as part of a series of viewpoints celebrating 50 of the most influential papers published in the Journal of Physics series, which is celebrating its 50th anniversary. 
Multiple-soliton solutions and a generalized double Wronskian determinant to the ( + )-dimensional nonlinear Schrödinger equations
is a well-known mathematical model for describing the evolution of pulses in nonlinear optical fibers and of surface gravity waves in fluid dynamics []. To investigate different complex nonlinear
Frontiers in multidimensional self-trapping of nonlinear fields and matter
Abstract2D 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 physical settings.
Multiple-soliton solutions and a generalized double Wronskian determinant to the (2+1)$(2+1)$-dimensional nonlinear Schrödinger equations
A (2+1)$(2+1)$-dimensional nonlinear Schrödinger equation is mainly discussed. Based on the Hirota direct method and the Wronskian technique, multiple-soliton solutions and a generalized double
Two-Dimensional Solitons in Nonlocal Media: A Brief Review
This is a review addressing soliton-like states in systems with nonlocal nonlinearity. The work on this topic has long history in optics and related areas. Some results produced by the work (such as
Interactions of three-dimensional solitons in the cubic-quintic model.
We report results of a systematic numerical analysis of interactions between three-dimensional (3D) fundamental solitons, performed in the framework of the nonlinear Schrödinger equation (NLSE) with
Vortex dynamics of counterpropagting laser beams in photorefractive materials
We study vortex patterns of counterpropagating laser beams in a photorefractive crystal, with or without the background photonic lattice. The vortices are effectively planar and have two “flavors”
N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions
In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrodinger (NLS) equations is given. In
(INVITED) Vortex solitons: Old results and new perspectives
  • B. Malomed
  • Physics
    Physica D: Nonlinear Phenomena
  • 2019
Suppression of the critical collapse for one-dimensional solitons by saturable quintic nonlinear lattices.
It is demonstrated that this purpose can be achieved by combining a nonlinear lattice and saturation of the quintic nonlinearity, which supports three species of solitons, namely, fundamental (even-parity) ones and dipole (odd-Parity) modes of on- and off-site-centered types.


Robust two-dimensional spatial solitons in liquid carbon disulfide.
The excitation of near-infrared (2+1)D solitons in liquid carbon disulfide is demonstrated due to the simultaneous contribution of the third- and fifth-order susceptibilities. Solitons propagating
Stable Solitons in Three Dimensional Free Space without the Ground State: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling.
This work demonstrates the existence of metastable solitons in three dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and spin-orbit coupling, which can be engineered by available experimental techniques.
Bright solitons from defocusing nonlinearities.
It is reported that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes that give rise to a variety of stable solitons in all three dimensions.
Exciton-polariton gap solitons in two-dimensional lattices.
The two-dimensional gap-soliton nature of exciton-polariton macroscopic coherent phases (PMCP) in a square lattice with a tunable amplitude is reported, resulting in the reduction of the PMCP coherence length and optical excitation threshold with increasing lattice amplitude.
Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates.
Bright matter-wave solitons form during the collapse of (85)Rb condensates in a three-dimensional (3D) magnetic trap using a Feshbach resonance to suddenly switch the atomic interactions from repulsive to attractive.
Three-dimensional light bullets in arrays of waveguides.
We report the first experimental observation of three-dimensional light bullets, excited by femtosecond pulses in a system featuring quasi-instantaneous cubic nonlinearity and a periodic,
Observation of Discrete, Vortex Light Bullets
Falk Eilenberger, Karin Prater, Stefano Minardi, Reinhard Geiss, Ulrich Röpke, Jens Kobelke, Kay Schuster, Hartmut Bartelt, Stefan Nolte, Andreas Tünnermann, and Thomas Pertsch Institute of Applied
Twisted toroidal vortex solitons in inhomogeneous media with repulsive nonlinearity.
It is uncovered that stable solitons with this structure can be created, without any linear potential, in the single-component setting with the strength of repulsive nonlinearity growing fast enough from the center to the periphery, for both steep and smooth modulation profiles.
Robust self-trapping of vortex beams in a saturable optical medium
We report the first observation of robust self-trapping of vortex beams propagating in a uniform condensed medium featuring local saturable self-focusing nonlinearity. Optical vortices with
Creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space.
It is demonstrated that the Bose-Einstein condensate with the spin-orbit Rashba coupling and cubic attractive interactions gives rise to solitary-vortex complexes of two types: semivortices (SVs, with a vortex in one component and a fundamental soliton in the other), and mixed modes (MMs, with topological charges 0 and ±1 mixed in both components).