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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 ...
Ponencia
Static and moving breathers in a DNA model with competing short–range and long–range dispersive interactions
(2001)
So far, all the studies on breathers on DNA have considered models with either short–range or long-range interaction. However, none of them have considered both kinds of interactions. When both interactions are taken ...
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
Comment on “Soliton ratchets induced by excitation of internal modes”
(2005)
Very recently Willis et al. [Phys. Rev. E 69, 056612 (2004)] have used a collective variable theory to explain the appearance of a nonzero energy current in an ac-driven, damped sine-Gordon equation. In this Comment, we ...
Artículo
Exact numerical solutions for dark waves on the discrete nonlinear Schrödinger equation
(American Physical Society, 2005)
In this paper we study numerically existence and stability of exact dark waves on the (nonintegrable) discrete nonlinear Schrödinger equation for a finite one-dimensional lattice. These are solutions that bifurcate from ...
Ponencia
Ratchet effect in solids: Defect transport driven by biharmonic forces
(2007)
Interstitials and vacancies, in one-dimensional lattices, are point defects that can be modelled by means of kinks or antikinks in a discrete Frenkel-Kontorova model, with a sine-Gordon on-site potential. The properties ...
Artículo
Bright and dark breathers in Fermi-Pasta-Ulam lattices
(2004)
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, C. R. ...
Artículo
Demonstration of the stability or instability of multibreathers at low coupling
(2003)
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ...
Artículo
Breathers in a system with helicity and dipole interaction
(American Physical Society, 2002)
Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds between base pairs. In these models the ...
Artículo
Interaction of moving discrete breathers with vacancies
(2006)
In this paper a Frenkel–Kontorova model with a nonlinear int eraction potential is used to describe a vacancy defect in a crystal. According t o recent numerical results [Cuevas et al . Phys. Lett. A 315, 364 (2003)] ...