Buscar
Mostrando ítems 1-10 de 10
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 ...
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Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ...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)] ...
Artículo
Breathers in inhomogeneous nonlinear lattices : an analysis via centre manifold reduction
(2009)
We consider an infinite chain of particles linearly coupled to their nearest neighbors and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous, i.e. coupling constants, particle masses and ...
Artículo
Analytical approach to soliton ratchets in asymmetric potentials
(2005)
We use soliton perturbation theory and collective coordinate ansatz to investigate the mechanism of soliton ratchets in a driven and damped asymmetric double sine-Gordon equation. We show that, at the second order of the ...
Artículo
Hysteresis in vibrated granular media
(Elsevier, 2000)
Some general dynamical properties of models for compaction of granular media based on master equations are analyzed. In particular, a one-dimensional lattice model with short-ranged dynamical constraints is considered. The ...