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Artículo
Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
(2011)
the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete ...
Artículo
From nodeless clouds and vortices to gray ring solitons and symmetry-broken states in two-dimensional polariton condensates
(2014)
We consider the existence, stability and dynamics of the nodeless state and fundamental nonlinear excitations, such as vortices, for a quasi-two-dimensional polariton condensate in the presence of pumping and nonlinear ...
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 ...
Artículo
Beating dark-dark solitons in Bose-Einstein condensates
(2012)
Motivated by recent experimental results, we study beating dark-dark solitons as a prototypical coherent structure that emerges in two-component Bose-Einstein condensates. We showcase their connection to dark- bright ...
Artículo
Josephson tunnelling of dark solitons in a double-well potential
(2011)
We study the dynamics of matter waves in an effectively one-dimensional Bose-Einstein condensate in a double-well potential. We consider in particular the case when one of the double wells confines excited states. Similar ...
Artículo
Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping
(2013)
We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed-point arguments, deriving lower ...
Capítulo de Libro
Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
(Springer Nature Singapure, 2018)
The subject of PT -symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrödinger model with a complex potential that can be tuned controllably away from being ...
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 ...
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 ...