Dynamics of two-dimensional coherent structures in nonlocal nonlinear media

Abstract

We study stability and dynamics of the single cylindrically symmetric solitary structures and dipolar solitonic molecules in spatially nonlocal media. The main properties of the solitons, vortex solitons, and dipolar solitons are investigated analytically and numerically. The vortices and higher-order solitons show the transverse symmetry-breaking azimuthal instability below some critical power. We find the threshold of the vortex soliton stabilization using the linear stability analysis and direct numerical simulations. The higher-order solitons, which have a central peak and one or more surrounding rings, are also demonstrated to be stabilized in nonlocal nonlinear media. Using direct numerical simulations, we find a class of radially asymmetric, dipole-like solitons and show that, at sufficiently high power, these structures are stable.

8 pages, 10 figures

Cited by in corpus (32)

• Two-dimensional multi-pole solitons in nonlocal nonlinear media
• Anisotropic solitons in dipolar Bose-Einstein Condensates
• Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor
• Self-Induced Fractional Fourier Transform and Revivable Higher Order Spatial Solitons in Strongly Nonlocal Nonlinear Media
• Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
• Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry
• Phonon instability in two-dimensional dipolar Bose-Einstein Condensates
• Two-dimensional nonlocal vortices, multipole solitons and azimuthons in dipolar Bose-Einstein condensates
• Gray spatial solitons in nonlocal nonlinear media
• Stabilization of dipole solitons in nonlocal nonlinear media
• Twin-vortex solitons in nonlocal nonlinear media
• Short-range interaction of strongly nonlocal spatial optical solitons
• Nonlocal surface dipoles and vortices
• Interaction of solitons in dipolar Bose-Einstein condensates and formation of soliton molecules
• Stabilization of higher-order vortices and multi-hump solitons in media with synthetic nonlocal nonlinearities
• Unstaggered-staggered solitons in two-component discrete nonlinear Schrödinger lattices
• Propagation of solitons in thermal media with periodic nonlinearity
• Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity
• Two-dimensional nonlocal multisolitons
• Rotating soliton solutions in nonlocal nonlinear media
• Stable vortex in Bose-Einstein condensate dark matter
• The Relation Between Optical beams Propagation in Free Space and in Strongly Nonlocal Nonlinear Media
• Complex variable function Gaussian beam in strongly nonlocal nonlinear media
• Three-dimensional solitons and vortices in dipolar Bose-Einstein condensates
• An perturbation-iteration method for multi-peak solitons in nonlocal nonlinear media
• Three-dimensional vortex dipole solitons in self-gravitating systems
• Two-dimensional ring-like vortex and multisoliton nonlinear structures at the upper-hybrid resonance
• Bright vector solitons in cross-defocusing nonlinear media
• Quasi-one- and quasi-two-dimensional symbiotic solitons bound by dipolar interaction
• Light beam dynamics in materials with radially-inhomogeneous thermal conductivity
• Mobility of nonlocal solitons in fading optical lattices
• (2+1)D surface solitons at the interface between a linear medium and a nonlocal nonlinear medium