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Artículo
Two-dimensional discrete solitons in rotating lattices
(2007)
We introduce a two-dimensional discrete nonlinear Schrödinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating ...
Artículo
Moving discrete breathers in a β-FPU lattice revisited
(Elsevier, 2022-08)
In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in -FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of ...
Artículo
Dark lattice solitons in one-dimensional waveguide arrays with defocusing saturable nonlinearity and alternating couplings
(2012)
In the present work, we examine “binary” waveguide arrays, where the coupling between adjacent sites alternates between two distinct values C1 and C2 and a saturable nonlinearity is present on each site. Motivated by ...
Artículo
The Role of Mobility in the Dynamics of the COVID-19 Epidemic in Andalusia
(Springer, 2023-05)
Metapopulation models have been a popular tool for the study of epidemic spread over a network of highly populated nodes (cities, provinces, countries) and have been extensively used in the context of the ongoing COVID-19 ...
Artículo
Nonlinear instabilities of multi-site breathers in Klein–Gordon lattices
(Wiley online library, 2016)
In the present work, we explore the possibility of excited breather states in a nonlinear Klein–Gordon lattice to become nonlinearly unstable, even if they are found to be spectrally stable. The mechanism for this fundamentally ...
Artículo
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
(Elsevier, 2021-03)
We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to ana- lytical predictions developed by means ...
Artículo
Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
(2009)
We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the general form, |u|2σu|u|2σu. We systematically verify the conditions for the existence and stability of discrete solitons in the ...
Artículo
PT-symmetry management in oligomer systems
(2013)
We study the effects of management of the PT-symmetric part of the potential within the setting of Schrödinger dimer and trimer oligomer systems. This is done by rapidly modulating in time the gain/loss profile. This gives ...
Artículo
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity : Existence, stability and dynamics
(2008)
The present work examines in detail the existence, stability and dynamics of travelling solitary waves in a Schrödinger lattice with saturable nonlinearity. After analysing the linear spectrum of the problem in the travelling ...
Artículo
Solitary waves of a PT -symmetric Nonlinear Dirac equation
(IEEE, 2016)
In the present work, we consider a prototypical example of a PT -symmetric Dirac model. We discuss the underlying linear limit of the model and identify the threshold of the PT -phase transition in an analytical form. ...