Author profile: Cuevas-Maraver, Jesús
Institutional data
Name | Cuevas-Maraver, Jesús |
Department | Física Aplicada I |
Knowledge area | Física Aplicada |
Professional category | Profesor Titular de Universidad |
Request | |
Statistics
-
No. publications
154
-
No. visits
28148
-
No. downloads
31260
Publications |
---|
Article
Stability of Breathers for a Periodic Klein–Gordon Equation
(MDPI, 2024)
The existence of breather-type solutions, i.e., solutions that are periodic in time and exponentially localized in space, ... |
Article
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
(Elsevier, 2024)
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the ... |
Article
Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models
(Elsevier, 2024)
In the present work we explore the potential of models of the discrete nonlinear Schrödinger (DNLS) type to support spatially ... |
Article
Vaccination compartmental epidemiological models for the delta and omicron SARS-CoV-2 variants
(Elsevier, 2024)
We explore the inclusion of vaccination in compartmental epidemiological models concerning the delta and omicron variants ... |
Article
Discrete breathers in Klein–Gordon lattices. A deflation-based approach
(American Institute of Physics, 2023)
Deflation is an efficient numerical technique for identifying new branches of steady state solutions to nonlinear partial ... |
Article
Standing and traveling waves in a model of periodically modulated one-dimensional waveguide arrays
(American Physical Society, 2023)
In the present work we study coherent structures in a one-dimensional discrete nonlinear Schrödinger lattice in which the ... |
Article
The Role of Mobility in the Dynamics of the COVID-19 Epidemic in Andalusia
(Springer, 2023)
Metapopulation models have been a popular tool for the study of epidemic spread over a network of highly populated nodes ... |
Article
Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation
(Springer, 2023)
The discrete complex Ginzburg–Landau equation is a fundamental model for the dynamics of nonlinear lattices incorporating ... |
Article
Solitary wave billiards
(American Physical Society, 2023)
In the present work we explore the concept of solitary wave billiards. That is, instead of a point particle, we examine a ... |
Article
Discrete breathers in a mechanical metamaterial
(American Physical Society, 2023)
We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a ... |
Article
Backcasting COVID-19: A physics-informed estimate for early case incidence
(Royal Society, 2022)
It is widely accepted that the number of reported cases during the first stages of the COVID-19 pandemic severely ... |
Article
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach
(IOP Publishing, 2022)
We consider the existence and spectral stability of multi-breather structures in the discrete Klein–Gordon equation, both ... |
Article
Moving discrete breathers in a β-FPU lattice revisited
(Elsevier, 2022)
In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in -FPU lattices. ... |
Article
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: Theoretical analysis and numerical computations
(IOP Publishing, 2022)
In the present work we provide a characterization of the ground states of a higher-dimensional quadratic-quartic model of ... |
Article
The closeness of localized structures between the Ablowitz-Ladik lattice and discrete nonlinear Schrödinger equations: Generalized AL and DNLS systems
(American Institute of Physics, 2022)
The Ablowitz–Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ... |
Article
The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation
(Elsevier, 2022)
While the Ablowitz-Ladik lattice is integrable, the Discrete Nonlinear Schrödinger equation, which is more significant for ... |
Article
Floquet solitons in square lattices: Existence, stability, and dynamics
(American Physical Society, 2022)
In the present work, we revisit a recently proposed and experimentally realized topological two-dimensional lattice with ... |
Article
Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices
(Elsevier, 2022)
For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly- decaying linear ... |
Article
Reaction-diffusion spatial modeling of COVID-19: Greece and Andalusia as case examples
(American Physical Society, 2021)
We examine the spatial modeling of the outbreak of COVID-19 in two regions: the autonomous community of Andalusia in Spain ... |
Article
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico
(ScienceDirect, 2021)
The role of lockdown measures in mitigating COVID-19 in Mexico is investigated using a comprehensive nonlinear ODE model. ... |
Article
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
(Elsevier, 2021)
We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically ... |
Article
Easing COVID-19 lockdown measures while protecting the older restricts the deaths to the level of the full lockdown
(Nature Research, 2021)
Guided by a rigorous mathematical result, we have earlier introduced a numerical algorithm, which using as input the ... |
Article
A quantitative framework for exploring exit strategies from the COVID-19 lockdown
(Elsevier, 2020)
Following the highly restrictive measures adopted by many countries for combating the current pandemic, the number of ... |
Article
A quantitative framework for exploring exit strategies from the COVID-19 lockdown
(Elsevier, 2020)
Following the highly restrictive measures adopted by many countries for combating the current pandemic, the number of ... |
Article
Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
(Elsevier, 2020)
We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb ... |
Article
Lockdown Measures and their Impact on Single- and Two-age-structured Epidemic Model for the COVID-19 Outbreak in Mexico
(BMJ and Yale, 2020)
The role of lockdown measures in mitigating COVID-19 in Mexico is investigated using a comprehensive nonlinear ODE model. ... |
Article
Kuznetsov–Ma breather-like solutions in the Salerno model
(Springer Verlag, 2020)
The Salerno model is a discrete variant of the celebrated nonlinear Schr¨odinger (NLS) equation interpolating between the ... |
Article
Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
(Elsevier, 2020)
We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb ... |
Article
Stability of traveling waves in a driven Frenkel–Kontorova model
(Elsevier, 2020)
In this work we revisit a classical problem of traveling waves in a damped Frenkel–Kontorova lattice driven by a constant ... |
Article
Vortex Pairs in the Discrete Nonlinear Schrödinger Equation
(IOP Publishing, 2020)
The aim of the present work is to examine the role of discreteness in the interaction of both co-winding and counter-winding ... |
Chapter of Book
Nonlinearity and Topology
(Springer Nature, 2020)
The interplay of nonlinearity and topology results in many novel and emergent properties across a number of physical systems ... |
Article
Growth of nanocolumnar thin films on patterned substrates at oblique angles
(Wiley-VCH Verlag, 2019)
The influence of one dimensional substrate patterns on the nanocolumnar growth of thin films deposited by magnetron ... |
Article
Speed-of-light pulses in a massless nonlinear dirac equation
(American Physical Society, 2019)
In this work, we explore a massless nonlinear Dirac equation, i.e., a nonlinear Weyl equation. We study the dynamics of ... |
Article
Solitary waves in the Ablowitz--Ladik equation with power-law nonlinearity
(IOP Publishing, 2019)
We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the ... |
Article
Experimental and numerical observation of dark and bright breathers in the band gap of a diatomic electrical lattice
(American Physical Society, 2019)
We observe dark and bright intrinsic localized modes (ILMs), also known as discrete breathers, experimentally and numerically ... |
Article
Impulse-induced localized nonlinear modes in an electrical lattice
(IOP Publishing, 2019)
Intrinsic localized modes, also called discrete breathers (DBs), can exist under certain conditions in one-dimensional ... |
Chapter of Book
Discrete breathers in Φ4 and related models
(Springer Nature, 2019)
In this Chapter, we touch upon the wide topic of discrete breather (DB) formation with a special emphasis on the prototypical ... |
Article
Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
(Elsevier, 2019)
The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of ... |
Article
Stabilization of the Peregrine soliton and Kuznetsov-Ma breathers by means of nonlinearity and dispersion management
(Elsevier, 2018)
We demonstrate a possibility to make rogue waves (RWs) in the form of the Peregrine soliton (PS) and Kuznetsov-Ma breathers ... |
Article
Rogue Waves in Ultracold Bosonic Seas
(Academiei Romane, 2018)
In this work, we numerically consider the initial value problem for nonlinear Schrodinger (NLS)-type models arising in ... |
Chapter of Book
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 ... |
Chapter of Book
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. ... |
Article
Interactions and scattering of quantum vortices in a polariton fluid
(Nature Publishing Group, 2018)
Quantum vortices, the quantized version of classical vortices, play a prominent role in superfluid and superconductor phase ... |
Article
Hydrodynamics and two-dimensional dark lump solitons for polariton superfluids
(American Physical Society, 2018)
We study a two-dimensional incoherently pumped exciton-polariton condensate described by an open-dissipative Gross-Pitaevskii ... |
Article
Propagation studies for the construction of atomic macro-coherence in dense media as a tool to investigate neutrino physics
(EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2017)
In this manuscript we review the possibility of inducing large coherence in a macroscopic dense target by using adiabatic ... |
Article
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 ... |
Article
Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves
(American Physical Society, 2017)
In the present work, we aim at taking a step towards the spectral stability analysis of Peregrine solitons, i.e., wave ... |
Article
An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices
(The Royal Society, 2017)
In this work, we revisit a criterion, originally proposed in [Nonlinearity 17, 207 (2004)], for the stability of solitary ... |
Article
Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum
(Institute of Physics (IOP), 2017)
In the present work, we explore a nonlinear Dirac equation motivated as the continuum limit of a binary waveguide array ... |
Article
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 ... |
Book
Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics
(NoLineal 2016Juan F.R. Archilla, 2016)
|
Article
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 ... |
Article
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 ... |
Article
Energy Criterion for the Spectral Stability of Discrete Breathers
(American Physical Society, 2016)
Discrete breathers are ubiquitous structures in nonlinear anharmonic models ranging from the prototypical example of the ... |
Article
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 ... |
Article
Impulse-induced localized control of chaos in starlike networks
(American Physical Society, 2016)
Locally decreasing the impulse transmitted by periodic pulses is shown to be a reliable method of taming chaos in starlike ... |
Article
Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model
(American Physical Society (APS), 2016)
We explore a prototypical two-dimensional massive model of the nonlinear Dirac type and examine its solitary wave and ... |
Article
A PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling
(MDPI, 2016)
As an extension of the class of nonlinear PT-symmetric models, we propose a system of sine-Gordon equations, with the PT ... |
Article
Impulse-induced generation of stationary and moving discrete breathers in nonlinear oscillator networks
(American Physical Society (APS), 2016)
We study discrete breathers in prototypical nonlinear oscillator networks subjected to nonharmonic zero-mean periodic ... |
Article
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 ... |
Article
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 ... |
Article
Solitary waves in a discrete nonlinear Dirac equation
(2015)
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form of a discretization ... |
Career Final Project |
Chapter of Book
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 ... |
Chapter of Book
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 ... |
Article
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 ... |
Article
PT-symmetric sine-Gordon breathers
(2014)
In this work, we explore a prototypical example of a genuine continuum breather (i.e., not a standing wave) and the ... |
Chapter of Book
Supersonic Kinks in Coulomb lattices
(Springer International Publishing, 2014)
There exist in nature examples of lattices of elements for which the interaction is repulsive, the elements are kept in ... |
Article
Collective coordinates theory for discrete soliton ratchets in the sine-Gordon model
(American Physical Society, 2014)
A collective coordinate theory is developed for soliton ratchets in the damped discrete sine-Gordon model driven by a ... |
Article
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 ... |
Article
Escape dynamics in the discrete repulsive φ4 model
(2013)
We study deterministic escape dynamics of the discrete Klein-Gordon model with a repulsive quartic on-site potential. Using ... |
Presentation
Energy localization and transport in two-dimensional electrical lattices
(NOLTA, 2013)
Intrinsic localized modes (ILMs) have been generated and characterized in two-dimensional nonlinear electrical ... |
Article
Coupled backward- and forward-propagating solitons in a composite right- and left-handed transmission line
(2013)
We study the coupling between backward- and forward-propagating wave modes, with the same group velocity, in a composite ... |
Article
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 ... |
Article
Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors
(2013)
We study the existence and stability of multibreathers in Klein-Gordon chains with interactions that are not restricted ... |
Article
Nonlinear localized modes in two-dimensional electrical lattices
(2013)
We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear ... |
Article
PT-symmetric dimer of coupled nonlinear oscillators
(2013)
We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT symmetry i.e., one of them ... |
Article
Scattering of atomic dark-bright solitons from narrow impurities
(2013)
In this work, we examine the collision of an atomic dark-bright soliton, in a two-component Bose-Einstein condensate, with ... |
Article
Breathers in oscillator chains with Hertzian interactions
(2013)
We prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a class of Fermi-Pasta-Ulam ... |
Article
Interactions of solitons with a Gaussian barrier : splitting and recombination in quasi-1D and 3D
(2013)
The interaction of matter-wave solitons with a potential barrier is a fundamentally important problem, and the splitting ... |
Article
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 ... |
Chapter of Book
Symmetry-breaking Effects for Polariton Condensates in Double-Well Potentials
(Springer Verlag, 2012)
We study the existence, stability, and dynamics of symmetric and anti-symmetric states of quasi-one-dimensional polariton ... |
Article
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 ... |
Presentation |
Article
Generation of localized modes in an electrical lattice using subharmonic driving
(2012)
We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably produced (and experimentally ... |
Presentation
Breathers and surface modes in oscillator chains with Hertz ian interactions
(NOLTA, 2012)
We study localized waves in chains of oscillators coupled by Hertzian interactions and trapped in local potentials. This ... |
Article
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 ... |
Article
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 ... |
Article
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 ... |
Article
Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays
(2011)
In the present work, we consider the dynamics of dark solitons as one mode of a defocusing photorefractive lattice coupled ... |
Article
Stability of non-time-reversible phonobreathers
(2011)
Non-time reversible phonobreathers are non-linear waves that can transport energy in coupled oscillator chains by means ... |
Article
Discrete breathers in a nonlinear electric line: modeling, computation, and experiment
(2011)
We study experimentally and numerically the existence and stability properties of discrete breathers in a periodic nonlinear ... |
Article
Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotics
(2011)
In this paper, we give a proof of the existence of stationary dark solitonsolutions or heteroclinic orbits of nonlinear ... |
Article
Interaction of moving discrete breathers with interstitial defects
(American Institute of Mathematical Sciences, 2011)
In this paper, interstitial migration generated by scattering with a mobile breather is investigated numerically in a ... |
Article
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. ... |
Article
Multibreather and vortex breather stability in Klein–Gordon lattices: equivalence between two different approaches
(2011)
In this work, we revisit the question of stability of multibreather configurations, i.e. discrete breathers with multiple ... |
Article
Nonlinear excitations, stability inversions, and dissipative dynamics in quasi-one-dimensional polariton condensates
(2011)
We study the existence, stability, and dynamics of the ground state and nonlinear excitations, in the form of dark solitons, ... |
Article
Energy thresholds for the existence of breather solutions and traveling waves on lattices
(2010)
We discuss the existence of breathers and of energy thresholds for their formation in DNLS lattices with linear and nonlinear ... |
Article
Regular and chaotic transport of discrete solitons in asymmetric potentials
(2010)
Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed ... |
Article
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. ... |
Article
Solitons for the cubic-quintic nonlinear Schrödinger equation with time and space modulated coefficients
(2009)
In this paper, we construct, by means of similarity transformations, explicit solutions to the cubic–quintic nonlinear ... |
Article
Discrete breathers in a forced-damped array of coupled pendula: modeling, computation, and experiment
(2009)
In this work, we present a mechanical example of an experimental realization of a stability reversal between on-site and ... |
Article
Nucleation of breathers via stochastic resonance in nonlinear lattices
(2009)
By applying a staggered driving force in a prototypical discrete model with a quartic nonlinearity, we demonstrate the ... |
Article
Moving breather collisions in Klein-Gordon chains of oscillators
(2009)
We investigate the collisions of moving breathers, with the same frequency, in three different Klein-Gordon chains of ... |
Presentation
Vortex solutions of the defocusing discrete nonlinear Schroedinger equation
(American Institute of Physics, 2009)
We consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing DNLS ... |
Article
Lower and upper estimates on the excitation threshold for breathers in DNLS lattices
(2009)
We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized ... |
Chapter of Book
Moving breather collisions in the Peyrard-Bishop DNA model
(Springer, 2009)
We consider collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. Two identical stationary breathers, ... |
Article
Breathers in inhomogeneous nonlinear lattices : an analysis via centre manifold reduction
(2009)
We consider an infinite chain of particles linearly coupled to their nearest neighbors and subject to an anharmonic local ... |
Article
Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
(2009)
We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole ... |
Article
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 ... |
Chapter of Book
DNLS with Impurities
(Springer, 2009)
The past few years have witnessed an explosion of interest in discrete models and intrinsic localized modes (discrete ... |
Article
Interlaced solitons and vortices in coupled DNLS lattices
(2009)
In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than ... |
Chapter of Book |
Article
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 ... |
Article
Approximation of solitons in the discrete NLS equation
(World Scientific, 2008)
We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear ... |
Presentation
Effect of breather existence on reconstructive transformations in mica muscovite
(2008)
Reconstructive transformations of layered silicates as mica muscovite take place at much lower temperatures than expected. ... |
Presentation
Discrete breathers collisions in nonlinear Schrödinger and Klein-Gordon lattices
(2008)
Collisions between moving localized modes (moving breathers) in non- integrable lattices present a rich outcome. In this ... |
Article
Discrete moving breather collisions in a Klein-Gordon chain of oscillators
(2008)
We study the collisions of moving breathers with the same frequency, traveling with opposite directions within a Klein–Gordon ... |
Article |
Article
Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity
(2008)
We consider the question of existence of periodic solutions (called breather solutions or discrete solitons) for the ... |
Presentation |
Article
Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity
(2008)
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of localized solutions in ... |
Article
Two-dimensional discrete solitons in rotating lattices
(2007)
We introduce a two-dimensional discrete nonlinear Schrödinger (DNLS) equation with self-attractive cubic nonlinearity in ... |
Presentation
Ratchet effect in solids: Defect transport driven by biharmonic forces
(2007)
Interstitials and vacancies, in one-dimensional lattices, are point defects that can be modelled by means of kinks or ... |
Article
Dynamics of the Davydov-Scott monomer in a thermal bath: comparison of the full quantum and semiclassical approaches
(2007)
The quantum state diffusion equation is applied to the problem of energy transfer in proteins. Lindblad operators, capable ... |
Article
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 ... |
Article
Existence of bound states of a polaron with a breather in soft potentials
(2006)
We consider polarons in models of coupled electronic and vibrational degrees of freedom, in the presence of a soft nonlinear ... |
Article
Breather trapping and breather transmission in a DNA model with an interface
(2006)
We study the dynamics of moving discrete breathers in an interfaced piecewise DNA molecule. This is a chain in which all ... |
Article
Discrete breathers for understanding reconstructive mineral processes at low temperatures
(American Chemical Society, 2006)
Reconstructive transformations in layered silicates need a high temperature in order to be observed. However, very recently, ... |
Article
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 ... |
Article
Interaction of moving discrete breathers with vacancies
(2006)
In this paper a Frenkel–Kontorova model with a nonlinear int eraction potential is used to describe a vacancy defect in a ... |
Presentation
Discrete solitons in optical BEC lattices. Effects of n-body interactions
(2006)
In this poster we show some recent results concerning discrete solitons in strong optical lattices, which can be described ... |
Article
Discrete peakons
(2005)
We demonstrate the possibility for explicit construction in a discrete Hamiltonian model of an exact solution of the form ... |
Chapter of Book
Classical and quantum nonlinear localized excitations in discrete systems
(Transworld Research Network, 2005)
Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can ... |
Presentation
Breather collisions: A survey of recent results
(2005)
We present some results on breather collisions in DNLS lattices, with special focus on systems with saturable nonlinearity. ... |
Article
Effect of the introduction of Impurities on the stability properties of multibreathers at low coupling
(2005)
Using a theorem dubbed the multibreather stability theorem (Archilla J F R et al 2003 Physica D 180 235) we have obtained ... |
Article
Motion of discrete solitons assisted by nonlinearity management
(2005)
We demonstrate that time-periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schrödinger equation ... |
Article
Moving breathers in bent DNA with realistic parameters
(2004)
Recent papers have considered moving breathers (MBs) in DNA models including long range interaction due to the dipole ... |
Article
Bright and dark breathers in Fermi-Pasta-Ulam lattices
(2004)
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. ... |
Article
Breather statics and dynamics in Klein-Gordon chains with a bend
(2004)
In this paper, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of ... |
Article
Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein-Gordon Lattices
(Springer, 2003)
We study the interaction of moving localized oscillations with a local inhomogeneity in a discrete nonlinear Hamiltonian ... |
Article
Influence of moving breathers on vacancies migration
(Elsevier, 2003)
A vacancy defect is described by a Frenkel-Kontorova model with a discommensuration. This vacancy can migrate when interacts ... |
Article
Demonstration of the stability or instability of multibreathers at low coupling
(2003)
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, ... |
Presentation
Interaction of moving breathers with an impurity
(World Scientific, 2003)
We analyze the influence of an impurity in the evolution of moving discrete breathers in a Klein–Gordon chain with non-weak ... |
Presentation
Breathers in FPU systems, near and far from the phonon band
(World Scientific, 2003)
|
Article
Moving breathers in a bent DNA model
(2002)
We study the properties of moving breathers in a bent DNA model with short range interaction, due to the stacking of ... |
PhD Thesis |
Article |
Article
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 ... |
Presentation
Localized oscillations in nonlinear hamiltonian Klein-Gordon lattices. Breathers and Anderson modes
(2002)
There are two different sources of localization in discrete lattices: • Anderson modes in disordered harmonic lattices [1] • Discrete breathers in homogeneous nonlinear lattices [2] |
Article
Moving discrete breathers in a Klein–Gordon chain with an impurity
(2002)
We analyse the influence of an impurity in the evolution of moving discrete breathers in a Klein–Gordon chain with non-weak ... |
Article
Moving breathers in a DNA model with competing short and long range dispersive interactions
(2002)
Moving breathers is a means of transmitting information in DNA. We study the existence and properties of moving breathers ... |
Presentation
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. ... |
Article
Numerical study of two-dimensional disordered Klein-Gordon lattices with cubic soft anharmonicity
(2001)
Localized oscillations appear both in ordered nonlinear lattices (breathers) and in disordered linear lattices (Anderson ... |