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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…
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.…