19 citations · 51 across the 12 of their papers we have counts for
8 papers · 1 filter
Soliton dynamics in the ABS nonlinear spinor model with external fields
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We consider the novel nonlinear model in (1 + 1)-dimensions for Dirac spinors recently introduced by Alexeeva, Barashenkov, and Saxena [1] (ABS model), which admits an exact explic…
Stability of parametrically driven, damped nonlinear Dirac solitons
Bernardo Sánchez-Rey, David Mellado-Alcedo, Niurka R. Quintero
The linear stability of two exact stationary solutions of the parametrically driven, damped nonlinear Dirac equation is investigated. Stability is ascertained through the resolutio…
Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We investigate the effects on solitons dynamics of introducing a PT-symmetric complex potential in a specific family of the cubic Dirac equation in (1+1)-dimensions, called the ABS…
Collective Coordinates Theory for Discrete Soliton Ratchets in the sine-Gordon Model
B. Sánchez-Rey, N. R. Quintero, J. Cuevas-Maraver +1
A collective coordinate theory is develop for soliton ratchets in the damped discrete sine-Gordon model driven by a biharmonic force. An ansatz with two collective coordinates, nam…
Breathers in inhomogeneous nonlinear lattices: an analysis via centre manifold reduction
Guillaume James, Bernardo Sanchez-Rey, Jesus Cuevas
We consider an infinite chain of particles linearly coupled to their nearest neighbours and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous. We…
Classical and quantum nonlinear localized excitations in discrete systems
F. R. Romero, J. F. R. Archilla, F. Palmero +4
Discrete breathers, or intrinsic localized modes, are spatially localized, time--periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units.…
Breathers in FPU systems, near and far from the phonon band
B. Sanchez-Rey, J. F. R. Archilla, G. James +1
There exists a recent mathematical proof on the existence of small amplitude breathers in FPU systems near the phonon band, which includes a prediction of their amplitude and width…
Breathers in a system with helicity and dipole interaction
B. Sanchez-Rey, J. F. R. Archilla, F. Palmero +1
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 bet…