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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
Moving breathers in a bent DNA model
(2002)
We study the properties of moving breathers in a bent DNA model with short range interaction, due to the stacking of the base pairs, and long range interaction, due to the finite dipole moment of the bonds within each ...
Capítulo de Libro
Classical and quantum nonlinear localized excitations in discrete systems
(Transworld Research Network, 2005)
Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units. Recently, some experiments show the ...
Tesis Doctoral
Ponencia
Breather collisions: A survey of recent results
(2005)
We present some results on breather collisions in DNLS lattices, with special focus on systems with saturable nonlinearity. We also review some other works concerning to collisons in FPU and Klein-Gordon lattices, proposing ...
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
Solitons for the cubic-quintic nonlinear Schrödinger equation with time and space modulated coefficients
(2009)
In this paper, we construct, by means of similarity transformations, explicit solutions to the cubic–quintic nonlinear Schrödinger equation with potentials and nonlinearities depending on both time and spatial coordinates. ...
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
Influence of moving breathers on vacancies migration
(Elsevier, 2003)
A vacancy defect is described by a Frenkel-Kontorova model with a discommensuration. This vacancy can migrate when interacts with a moving breather. We establish that the width of the interaction potential must be larger ...
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 ...