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Static and moving breathers in a DNA model with competing short–range and long–range dispersive interactions
(2001)
So far, all the studies on breathers on DNA have considered models with either short–range or long-range interaction. However, none of them have considered both kinds of interactions. When both interactions are taken ...
Artículo
A quantitative framework for exploring exit strategies from the COVID-19 lockdown
(Elsevier, 2020-11)
Following the highly restrictive measures adopted by many countries for combating the current pandemic, the number of individuals infected by SARS-CoV-2 and the associated number of deaths steadily decreased. This fact, ...
Artículo
Radiationless traveling waves in saturable nonlinear Schrödinger lattices
(2006)
The long-standing problem of moving discrete solitary waves in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier ...
Artículo
Stationary and moving breathers in a simplified model of curved alpha--helix proteins
(2002)
The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically consists a chain of dipole moments parallel to it. The existence of localized linear modes brings ...
Artículo
A Korteweg-de Vries description of dark solitons in polariton superfluids
(Elsevier, 2017)
We study the dynamics of dark solitons in an incoherently pumped exciton-polariton condensate by means of a system composed by a generalized open-dissipative Gross-Pitaevskii equation for the polaritons’ wavefunction and ...
Artículo
Quasidiscrete microwave solitons in a split-ring-resonator-based left-handed coplanar waveguide
(2011)
We study the propagation of quasidiscrete microwave solitons in a nonlinear left-handed coplanar waveguide coupled with split-ring resonators. By considering the relevant transmission line analog, we derive a nonlinear ...
Capítulo de Libro
Sine-Gordon Equation: From Discrete to Continuum
(Springer International Publishing, 2014)
In the present Chapter, we consider two prototypical Klein-Gordon models: the integrable sine- Gordon equation and the non-integrable φ4 model. We focus, in particular, on two of their prototypical solutions, namely the ...
Artículo
Breathers and kinks in a simulated crystal experiment
(American Institute of Mathematical Sciences, 2011)
We develop a simple 1D model for the scattering of an incoming particle hitting the surface of mica crystal, the transmission of energy through the crystal by a localized mode, and the ejection of atom(s) at the incident ...
Artículo
SO(2)-induced breathing patterns in multi-component Bose-Einstein condensates
(American Physical Society, 2016)
In this work, we employ the SO(2)-rotations of a two-component, one-, two- and three-dimensional nonlinear Schr¨odinger system at and near the Manakov limit, to construct vector solitons and vortex structures. This way, ...
Artículo
Interplay between parity-time symmetry, supersymmetry, and nonlinearity: An analytically tractable case example
(American Physical Society, 2015)
In the present work, we combine the notion of parity-time (PT ) symmetry with that of supersymmetry (SUSY) for a prototypical case example with a complex potential that is related by SUSY to the so-called P¨oschl-Teller ...