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Vortex solutions of the defocusing discrete nonlinear Schroedinger equation
(American Institute of Physics, 2009)
We consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing DNLS equation, a model of interest both to atomic physics and to nonlinear optics. Our considerations are ...
Artículo
Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit
(2009)
In this paper, we consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing discrete nonlinear Schrödinger model, a model of interest both to atomic physics and to ...
Artículo
Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability
(American Physical Society, 2017)
In this work, we provide two complementary perspectives for the (spectral) stability of solitary traveling waves in Hamiltonian nonlinear dynamical lattices, of which the Fermi-Pasta-Ulam and the Toda lattice are ...
Artículo
Vortex Pairs in the Discrete Nonlinear Schrödinger Equation
(IOP Publishing, 2020-03)
The aim of the present work is to examine the role of discreteness in the interaction of both co-winding and counter-winding vortices in the context of the nonlinear Schrodinger equation. Contrary to the well-known ...
Artículo
Interlaced solitons and vortices in coupled DNLS lattices
(2009)
In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than one component, namely interlaced solitons. In the anti-continuum limit of uncoupled sites, these ...
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 ...