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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
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
PT -Symmetric dimer in a generalized model of coupled nonlinear oscillators
(Springer, 2015)
In the present work, we explore the case of a general PT -symmetric dimer in the context of two both linearly and nonlinearly coupled cubic oscillators. To obtain an analytical handle on the system, we first explore ...
Artículo
Stability of traveling waves in a driven Frenkel–Kontorova model
(Elsevier, 2020-06)
In this work we revisit a classical problem of traveling waves in a damped Frenkel–Kontorova lattice driven by a constant external force. We compute these solutions as fixed points of a nonlinear map and obtain the ...
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
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
Stability of solitary waves in nonlinear Klein-Gordon equations
(IOP Publishing, 2022-11)
The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–Gordon systems is revisited. The linearized equation describing small deviations around the static solution leads to a Sturm–Liouville ...
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 ...