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Mostrando ítems 1-10 de 21
Artículo
Two-dimensional discrete solitons in rotating lattices
(2007)
We introduce a two-dimensional discrete nonlinear Schrödinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating ...
Artículo
Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
(2009)
We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the general form, |u|2σu|u|2σu. We systematically verify the conditions for the existence and stability of discrete solitons in the ...
Artículo
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity : Existence, stability and dynamics
(2008)
The present work examines in detail the existence, stability and dynamics of travelling solitary waves in a Schrödinger lattice with saturable nonlinearity. After analysing the linear spectrum of the problem in the travelling ...
Artículo
Discrete breathers in a forced-damped array of coupled pendula: modeling, computation, and experiment
(2009)
In this work, we present a mechanical example of an experimental realization of a stability reversal between on-site and intersite centered localized modes. A corresponding realization of a vanishing of the Peierls-Nabarro ...
Artículo
Radiationless traveling waves in saturable nonlinear Schrödinger lattices
(2006)
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-canonical energy barrier ...
Artículo
Approximation of solitons in the discrete NLS equation
(World Scientific, 2008)
We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational ...
Artículo
Existence of bound states of a polaron with a breather in soft potentials
(2006)
We consider polarons in models of coupled electronic and vibrational degrees of freedom, in the presence of a soft nonlinear substrate potential (Morse potential). In particular, we focus on a bound state of a polaron with ...
Artículo
Discrete peakons
(2005-08-01)
We demonstrate the possibility for explicit construction in a discrete Hamiltonian model of an exact solution of the form exp(−|n|), i.e., a discrete peakon. These discrete analogs of the well-known, continuum peakons of ...
Artículo
Using the finite domain remnant of the continuous spectrum to examine integrability: Effect of boundary conditions
(2003)
The aim of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE), by examining it in a finite but large domain. For monoparametric ...
Artículo
Nucleation of breathers via stochastic resonance in nonlinear lattices
(2009)
By applying a staggered driving force in a prototypical discrete model with a quartic nonlinearity, we demonstrate the spontaneous formation and destruction of discrete breathers with a selected frequency due to thermal ...