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 …
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …
[PDF][PDF] Multidimensional localized structures in optics and Bose-Einstein condensates: A selection of recent studies
D Mihalache - Rom. J. Phys, 2014 - rjp.nipne.ro
During the past decade there has been an increased interest in the study of localized
structures in optics and in the area of matter waves [atomic Bose-Einstein condensates …
structures in optics and in the area of matter waves [atomic Bose-Einstein condensates …
Self-trapped spatially localized states in combined linear-nonlinear periodic potentials
JC Shi, JH Zeng - Frontiers of Physics, 2020 - Springer
We analyze the existence and stability of two kinds of self-trapped spatially localized gap
modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional …
modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional …
Vortex solitons in dipolar Bose-Einstein condensates
I Tikhonenkov, BA Malomed, A Vardi - Physical Review A—Atomic, Molecular …, 2008 - APS
We predict solitary vortices in quasiplanar condensates of dipolar atoms, polarized parallel
to the confinement direction, with the effective sign of the dipole-dipole interaction inverted …
to the confinement direction, with the effective sign of the dipole-dipole interaction inverted …
Solitons supported by localized nonlinearities in periodic media
N Dror, BA Malomed - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
Nonlinear periodic systems, such as photonic crystals and Bose-Einstein condensates
(BEC's) loaded into optical lattices, are often described by the nonlinear Schrödinger or …
(BEC's) loaded into optical lattices, are often described by the nonlinear Schrödinger or …
Semidiscrete vortex solitons
X Xu, G Ou, Z Chen, B Liu, W Chen… - Advanced Photonics …, 2021 - Wiley Online Library
A possibility of creation of stable optical solitons combining one continuous and one discrete
coordinates, with embedded vorticity, in an array of planar waveguides with intrinsic cubic …
coordinates, with embedded vorticity, in an array of planar waveguides with intrinsic cubic …
Stable vortex solitons in the Ginzburg-Landau model of a two-dimensional lasing medium with a transverse grating
H Leblond, BA Malomed, D Mihalache - Physical Review A—Atomic, Molecular …, 2009 - APS
We introduce a two-dimensional model of a laser cavity based on the complex Ginzburg-
Landau equation with the cubic-quintic nonlinearity and a lattice potential accounting for the …
Landau equation with the cubic-quintic nonlinearity and a lattice potential accounting for the …
Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials
Complex Ginzburg-Landau (CGL) models of laser media (with cubic-quintic nonlinearity) do
not contain an effective diffusion term, which makes all vortex solitons unstable in these …
not contain an effective diffusion term, which makes all vortex solitons unstable in these …
Spatiotemporal vortex solitons in hexagonal arrays of waveguides
H Leblond, BA Malomed, D Mihalache - Physical Review A—Atomic, Molecular …, 2011 - APS
By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of
parallel linearly coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give …
parallel linearly coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give …
Two-dimensional solitons in media with stripe-shaped nonlinearity modulation
We introduce a model of media with the cubic attractive nonlinearity concentrated along a
single or double stripe in the two-dimensional (2D) plane. The model can be realized in …
single or double stripe in the two-dimensional (2D) plane. The model can be realized in …