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Artículo
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
(IOP Publishing, 2020-01)
The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when the external force is periodic in space and given by f(x) = r cos(Kx), both numerically and in a ...
Capítulo de Libro
Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
(Nova, 2015)
In the present work, we give a comparative summary of different recent contributions to the theme of the linear stability and nonlinear dynamics of solitary waves in the nonlinear Dirac equation in the form of the Gross-Neveu ...
Capítulo de Libro
Solitary waves in the Nonlinear Dirac Equation
(Springer Nature Switzerland AG, 2018)
In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its localized ...