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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...
Solitary waves in discrete media with four-wave mixing
Vector discrete model nonlinear coupling transverse electric field the transverse magnetic and linear polarization
2014/12/25
In this paper, we examine in detail the principal branches of solutions that arise in vector discrete models with nonlinear intercomponent coupling and four wave mixing. The relevant four branches of ...
Solitary waves under the competition of linear and nonlinear periodic potentials
The linear and nonlinear lattice bright solitons dynamics
2014/12/25
In this paper, we study the competition of the linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framewo...
Highly nonlinear solitary waves in periodic dimer granular chains
Nonlinear solitary wave the numerical simulation the heavy particles Hertz
2014/12/25
We investigate the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arra...
Dynamical barrier for the formation of solitary waves in discrete lattices
Dynamic obstacle grid the localization model nonlinear schrodinger lattice dynamic obstacles
2014/12/25
We consider the problem of the existence of a dynamical barrier of “mass” that needs to be excited on a lattice site to lead to the formation and subsequent persistence of localized modes for a nonlin...
Highly nonlinear solitary waves in heterogeneous periodic granular media
Numerical simulation of highly nonlinear solitary wave dimer and trimer one-dimensional particle lattice structure
2014/12/24
We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) and trimer (three-mas...
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
Two-dimensional nonlinear model of discretization solitary wave
2014/12/24
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schr¨odinger (NLS) model. We use singularity confinement techniques to sug...
Dissipative Solitary Waves in Granular Crystals
Quantitative dissipation effect a one-dimensional crystal particles
2014/12/24
We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optim...