Stability of two-dimensional spatial solitons in nonlocal nonlinear media

Abstract

We discuss existence and stability of two-dimensional solitons in media with spatially nonlocal nonlinear response. We show that such systems, which include thermal nonlinearity and dipolar Bose Einstein condensates, may support a variety of stationary localized structures - including rotating spatial solitons. We also demonstrate that the stability of these structures critically depends on the spatial profile of the nonlocal response function.

arXiv comment8 pages, 9 figures

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• Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor
• Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
• Elementary excitations of ultracold soft-core bosons across the superfluid-supersolid phase transition
• Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
• Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
• Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry
• Vortex solitons in dipolar Bose-Einstein Condensates
• Two-dimensional nonlocal vortices, multipole solitons and azimuthons in dipolar Bose-Einstein condensates
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• Analytical theory of dark nonlocal solitons
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• Stabilization of dipole solitons in nonlocal nonlinear media
• Twin-vortex solitons in nonlocal nonlinear media
• Nonlocal surface dipoles and vortices
• Solitons in Tonks-Girardeau gas with dipolar interactions
• Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
• Stabilization of higher-order vortices and multi-hump solitons in media with synthetic nonlocal nonlinearities
• Propagation of solitons in thermal media with periodic nonlinearity
• Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity
• Stability and evolution of wave packets in strongly coupled degenerate plasmas
• Two-dimensional nonlocal multisolitons
• Breather solitons in highly nonlocal media
• Lattice solitons with quadrupolar intersite interactions
• Rotating soliton solutions in nonlocal nonlinear media
• Complex variable function Gaussian beam in strongly nonlocal nonlinear media
• Two-dimensional multisolitons and azimuthons in Bose-Einstein condensates with attraction
• Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation
• Tracking azimuthons in nonlocal nonlinear media
• Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction
• Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates
• Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semi-local nonlinearity
• Collapse in the nonlocal nonlinear Schrödinger equation
• Dipolar matter-wave solitons in two-dimensional anisotropic discrete lattices
• Stability of solitary waves in random nonlocal nonlinear media
• Cross-symmetric dipolar-matter-wave solitons in double-well chains
• Multi-peak solitons in nonlocal nonlinear system with sine-oscillation response
• Cross-symmetry breaking of two-component discrete dipolar matter-wave solitons
• Spatiotemporal solitary modes in a twisted cylinder waveguide pipe with the self-focusing Kerr nonlinearity
• Generic transverse stability of kink structures in atomic and optical nonlinear media with competing attractive and repulsive interactions
• Soliton dynamics in finite nonlocal media with cylindrical symmetry
• Two-dimensional ring-like vortex and multisoliton nonlinear structures at the upper-hybrid resonance
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Multiple-type solutions for multipole interface solitons in thermal nonlinear media
• Transverse instability and dynamics of nonlocal bright solitons
• Light beam dynamics in materials with radially-inhomogeneous thermal conductivity
• Solitons in thermal media with periodic modulation of linear refractive index
• Quasi-one- and quasi-two-dimensional symbiotic solitons bound by dipolar interaction
• (2+1)D surface solitons at the interface between a linear medium and a nonlocal nonlinear medium
• Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity
• Shortcuts to adiabaticity for rapid soliton compression in nonlocal media