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Topological dipole Floquet solitons
Sergey K. Ivanov, Yaroslav V. Kartashov, Matthias Heinrich +3
We theoretically introduce a new type of topological dipole solitons propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bif…
Bound States in the Continuum in Spin-Orbit Coupled Atomic Systems
Yaroslav V. Kartashov, Vladimir V. Konotop, Lluis Torner
We show that the interplay between spin-orbit coupling and Zeeman splitting in atomic systems can lead to the existence of bound states in the continuum (BICs) supported by trappin…
Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
Y. V. Kartashov, B. A. Malomed, Y. Shnir +1
Toroidal modes in the form of so-called Hopfions, with two independent winding numbers, a hidden one (twist, s), which characterizes a circular vortex thread embedded into a three-…
Three-dimensional hybrid vortex solitons
Rodislav Driben, Yaroslav V. Kartashov, Boris A. Malomed +2
We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previou…
Soliton gyroscopes in media with spatially growing repulsive nonlinearity
Rodislav Driben, Yaroslav V. Kartashov, Boris A. Malomed +2
We find that the recently introduced model of self-trapping supported by a spatially growing strength of a repulsive nonlinearity gives rise to robust vortex-soliton tori, i.e., th…
Solitons supported by spatially inhomogeneous nonlinear losses
Olga V. Borovkova, Yaroslav V. Kartashov, Victor A. Vysloukh +3
We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength gro…
Nonlinearity-mediated soliton ejection from trapping potentials in nonlocal media
Fangwei Ye, Yaroslav V. Kartashov, Bambi Hu +1
We address the properties of optical solitons in thermal nonlinear media with a local refractive index defect that is capable to trap solitons launched even close to the sample bou…
Light bullets in Bessel optical lattices with spatially modulated nonlinearity
Fangwei Ye, Yaroslav V. Kartashov, Bambi Hu +1
We address the stability of light bullets supported by Bessel optical lattices with out-of-phase modulation of the linear and nonlinear refractive indices. We show that spatial mod…
Stabilization of dipole solitons in nonlocal nonlinear media
Fangwei Ye, Yaroslav V. Kartashov, Lluis Torner
We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear me…
Nonlocal surface dipoles and vortices
Fangwei Ye, Yaroslav V. Kartashov, Lluis Torner
We predict the existence and address the stability of two-dimensional surface solitons featuring topologically complex shapes, including dipoles, vortices, and bound states of vort…
Surface solitons in two-dimensional chirped photonic lattices
Mario I. Molina, Yaroslav V. Kartashov, Lluis Torner +1
We study surface modes in semi-infinite chirped two-dimensional photonic lattices in the frame- work of an effective discrete nonlinear model. We demonstrate that the lattice chirp…
Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity
Fangwei Ye, Yaroslav V. Kartashov, Lluis Torner
We address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength. We consider a physical model describing…
Stabilization of vector soliton complexes in nonlocal nonlinear media
Zhiyong Xu, Yaroslav V. Kartashov, Lluis Torner
We introduce vector soliton complexes in nonlocal Kerr-type nonlinear media. We discover that under proper conditions the combination of nonlocality and vectorial coupling has a re…
Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality
Zhiyong Xu, Yaroslav V. Kartashov, Lluis Torner
We address the impact of asymmetric nonlocal diffusion nonlinearity on the properties of gap solitons supported by photorefractive crystal with an imprinted optical lattice. We rev…
Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media
D. Mihalache, D. Mazilu, F. Lederer +4
We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-para…
Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media
Zhiyong Xu, Yaroslav V. Kartashov, Lluis Torner
We address the stability of multipole-mode solitons in nonlocal Kerr-type nonlinear media. Such solitons comprise several out-of-phase peaks packed together by the forces acting be…
Soliton mobility in nonlocal optical lattices
Zhiyong Xu, Yaroslav V. Kartashov, Lluis Torner
We address the impact of nonlocality in the physical features exhibited by solitons supported by Kerr-type nonlinear media with an imprinted optical lattice. We discover that nonlo…
Soliton topology versus discrete symmetry in optical lattices
Yaroslav V. Kartashov, Albert Ferrando, Alexey A. Egorov +1
We address the existence of vortex solitons supported by azimuthally modulated lattices and reveal how the global lattice discrete symmetry has fundamental implications on the poss…
Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice
D. Mihalache, D. Mazilu, F. Lederer +4
The existence and stability of solitons in Bose-Einstein condensates with attractive inter-atomic interactions, described by the Gross-Pitaevskii equation with a three-dimensional…
Stable spatiotemporal solitons in Bessel optical lattices
D. Mihalache, D. Mazilu, F. Lederer +4
We investigate the existence and stability of three-dimensional (3D) solitons supported by cylindrical Bessel lattices (BLs) in self-focusing media. If the lattice strength exceeds…
Reconfigurable soliton networks optically-induced by arrays of nondiffracting Bessel beams
Zhiyong Xu, Yaroslav V. Kartashov, Lluis Torner
We address the propagation of solitons in reconfigurable two-dimensional networks induced optically by arrays of nondiffracting Bessel beams in Kerr-type nonlinear media. We show t…
Reconfigurable directional couplers and junctions optically induced by nondiffracting Bessel beams
Zhiyong Xu, Yaroslav V. Kartashov, Victor A. Vysloukh +1
We put forward the concept of reconfigurable structures optically induced by mutually incoherent nondiffracting Bessel beams in Kerr-type nonlinear media. We address collinear coup…
Multicolor vortex solitons in two-dimensional photonic lattices
Zhiyong Xu, Yaroslav V. Kartashov, Lucian-Cornel Crasovan +2
We report on the existence and stability of multicolor lattice vortex solitons constituted by coupled fundamental frequency and second-harmonic waves in optical lattices in quadrat…
Spatiotemporal discrete multicolor solitons
Zhiyong Xu, Yaroslav V. Kartashov, Lucian-Cornel Crasovan +2
We have found various families of two-dimensional spatiotemporal solitons in quadratically nonlinear waveguide arrays. The families of unstaggered odd, even and twisted stationary…