搜索结果: 1-15 共查到“统计学 lattices”相关记录38条 . 查询时间(0.208 秒)
Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity
Stability in two-dimensional discrete nonlinear schrodinger equation lattice discrete soliton
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2014/12/29
We study the existence and stability of localized states in the discrete nonlinear Schrödinger equation on two-dimensional nonsquare lattices. The model includes both the nearest-neighbor and lon...
Domain walls in two-component dynamical lattices
Domain wall bimodal discrete nonlinear schrodinger equation the mode coupling
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2014/12/29
We introduce domain-wall (DW) states in the bimodal discrete nonlinear Schrödinger equation, in which the modes are coupled by cross-phase modulation (XPM). The results apply to an array of nonli...
Resonant and non-resonant modulated amplitude waves for binary Bose–Einstein condensates in optical lattices
System the potential coupling nonlinear linear bose-einstein condensate the resonant electromagnetic fields
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2014/12/29
We consider a system of two Gross–Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose–Einstein con...
Nonlinear lattices generated from harmonic lattices with geometric constraints
Harmonic the nonlinear dynamic grid model sine multiple linear matrix equation the nonlinear model
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2014/12/29
Geometrical constraints imposed on higher-dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are shown to be described by...
Stability of discrete solitons in nonlinear Schrödinger lattices
Discrete soliton bifurcate discrete nonlinear schrodinger lattice discrete soliton
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2014/12/29
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arb...
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
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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...
Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices
Condensate similar soliton parabolic magnetic trap periodic optical lattice space
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2014/12/29
Motivated by the recent experimental achievements in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatial...
Spontaneous symmetry breaking in photonic lattices: Theory and experiment
Symmetry broken double - well waveguide symmetric potential galerkin truncation photonic crystal lattice
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2014/12/29
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmetric. The effect is i...
Discrete solitons and vortices on anisotropic lattices
The two-dimensional nonlinear lattice discrete nonlinear schrodinger equation the vortex solitons
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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
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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...
Equivariant homology and K-theory of affine Grassmannians and Toda lattices
Theory of algebra $K $K commutative ring structure
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2014/12/25
For an almost simple complex algebraic group G with affine Grassmannian $\text{Gr}_G=G(\mathbb{C}(({\rm t})))/G(\mathbb{C}[[{\rm t}]])$, we consider the equivariant homology $H^{G(\mathbb{C}[[{\rm t}]...
Radiationless Traveling Waves in Saturable Nonlinear Schrödinger Lattices
Discrete solitary wave the nonlinear schrodinger crystals coupling
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2014/12/25
The long-standing problem of moving discrete solitary waves in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand...
Skyrmion-like excitations in dynamical lattices
The discrete simulation of nonlinear dynamic turning vortex solitons coupling a dynamic discrete
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2014/12/25
We construct discrete analogs of Skyrmions in nonlinear dynamical lattices. The Skyrmion is built as a vortex soliton of a complex field, coupled to a dark radial soliton of a real field. Adjusting th...
High-order-mode soliton structures in two-dimensional lattices with defocusing nonlinearity
Discrete soliton self-focusing defocusing nonlinear dipole the structure of vortex solitons
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2014/12/25
While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far o...
X, Y, and Z waves: Extended structures in nonlinear lattices
Waveform the two-dimensional nonlinear structure lattice soliton condensate
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2014/12/25
We propose a new type of waveforms in two-dimensional (2D) and three-dimensional (3D) discrete media-multilegged extended nonlinear structures (ENSs), built as arrays of lattice solitons (tiles and st...