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Artículo
Frequency–momentum representation of moving breathers in a two dimensional hexagonal lattice
(ScienceDirect, 2022-12)
We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We consider their properties in the frequency–momentum or ω − k representation, extending the theory on ...
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
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 ...
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 ...
Artículo
Does the dynamics of sine–Gordon solitons predict active regions of DNA?
(elsevier, 2006)
In this work we analyze the possibility that the soliton dynamics in a simple nonlinear model allows functionally relevant predictions of the behaviour of DNA. This suggestion was first put forward by Salerno [M. Salerno, ...
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
Discrete soliton collisions in a waveguide array with saturable nonlinearity
(2006)
We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of mobile breathers with high power. Three main ...
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 ...
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 ...