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A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
Signature of Large Aspect Ratio Roll Vortices in Synthetic Aperture Radar Images of Tropical Cyclones
Large Aspect Ratio Roll Vortices Synthetic Aperture Radar Images Tropical Cyclones
2015/7/16
Synthetic aperture radar images of tropical cyclones have been processed into high-resolution surface wind vector fields. Examination of the surface wind divergence and wind stress curl show that wind...
Flight Deck Display of Airborne Traffic Wake Vortices
Flight Deck Airborne Traffic Wake Vortices
2015/6/29
Over the coming decades, aviation operations are predicted to rise steadily, increasing the burden on already congested and constrained airports and terminal areas. It has long been recognized that a ...
Vortices in a Bose-Einstein condensate confined by an optical lattice
Vortex dynamics condensate optical lattice parabolic magnetic trap dynamics
2014/12/29
We investigate the dynamics of vortices in repulsive Bose–Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the O...
Vortices in a Bose–Einstein condensate confined by an optical lattice
Vortex dynamics condensate optical lattice parabolic magnetic trap
2014/12/29
We investigate the dynamics of vortices in repulsive Bose–Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the O...
Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice
Models three-dimensional space discrete nonlinear schrodinger equation the discrete vortex solitons whirlpool
2014/12/29
In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schrödinger equation, we find discrete vortex solitons with various values of the topological charge S. Stabilit...
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
Discrete two-dimensional nonlinear schrodinger lattice small vortex grid nodes coupling coupling of discrete vortex
2014/12/29
We study discrete vortices in the two-dimensional nonlinear Schrödinger lattice with small coupling between lattice nodes. The discrete vortices in the anti-continuum limit of zero coupling repre...
Discrete solitons and vortices on anisotropic lattices
The two-dimensional nonlinear lattice discrete nonlinear schrodinger equation the vortex solitons
2014/12/25
We consider the effects of anisotropy on solitons of various types in two-dimensional nonlinear lattices, using the discrete nonlinear Schrödinger equation as a paradigm model. For fundamental so...
Three-Dimensional Nonlinear Lattices: From Oblique Vortices and Octupoles to Discrete Diamonds and Vortex Cubes
Topology discrete nonlinear schrodinger equation condensate light lattice crystal
2014/12/25
We construct a variety of novel localized topological structures in the 3D discrete nonlinear Schrödinger equation. The states can be created in Bose-Einstein condensates trapped in strong optica...
Discrete vector on-site vortices
Discrete vortex coupling discrete nonlinear schrodinger equation crystal lattice coupling
2014/12/25
We study discrete vortices in coupled discrete nonlinear Schrödinger equations. We focus on the vortex cross configuration that has been experimentally observed in photorefractive crystals. Stabi...
Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices
Three-dimensional vortex configuration discrete nonlinear discrete vortex coupling
2014/12/25
We address the persistence and stability of three-dimensional vortex configurations in the discrete nonlinear Schrödinger equation and develop a symbolic package based on Wolfram’s MATHEMATICA fo...
Solitons and vortices in honeycomb defocusing photonic lattices
Gap soliton two-dimensional photoinduced photonic crystal lattice theory cellular defocusing photorefractive crystal
2014/12/25
Solitons and necklaces in the first band gap of a two-dimensional optically induced honeycomb defocusing photonic lattice are theoretically considered. It is shown that dipoles, soliton necklaces, and...
Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice
Linear stability quantization whirlpool nonlinear schrodinger equation
2014/12/25
We investigate the existence and especially the linear stability of single- and multiple-charge quantized vortex states of nonlinear Schrödinger equations in the presence of a periodic and a para...
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
Dynamic lattice model lattice geometries nonlinear schrodinger equation
2014/12/25
We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrödinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions th...
Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices: Theoretical analysis, numerical computation, and experimental results
Nonlinear discrete nearly two-dimensional photonic crystal lattice whirlpool discrete vortex model
2014/12/24
In this work, we focus on the subject of nonlinear discrete self-trapping of S=2 (doubly-charged) vortices in two-dimensional photonic lattices, including theoretical analysis, numerical computation, ...