70 citations · 630 across the 58 of their papers we have counts for
59 papers
Solitary waves and vortices in a Nonlinear Schrödinger equation with ponderomotive nonlinearity
D. K. Campbell, J. Cuevas-Maraver, R. Goh +1
In the present work we revisit a ponderomotive nonlinearity model used to examine self-trapped laser beams in plasma. Upon briefly considering the exact stationary 1D solutions of…
Dark solitons in the fractional NLS equation
Almudena P. Márquez, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
In the present work we consider the subject of dark fractional solitary waves in the realm of generalized (fractional) forms of the nonlinear Schrödinger (NLS) equation. While earl…
On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
Madison L. Lytle, Efstathios G. Charalampidis, Dionyssios Mantzavinos +3
In this work, we investigate the formation of time-periodic solutions with a non-zero background that emulate rogue waves, known as Kuzentsov-Ma (KM) breathers, in physically relev…
On the Fractional Dynamics of Kinks in sine-Gordon Models
T. Bountis, J. Cantisán, J. Cuevas-Maraver +2
In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation.…
Stability of Breathers for a Periodic Klein-Gordon Equation
Martina Chirilus-Bruckner, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
The existence of breather type solutions, i.e., periodic in time, exponentially localized in space solutions, is a very unusual feature for continuum, nonlinear wave type equations…
Practical identifiability and parameter estimation of compartmental epidemiological models
Q. Y. Chen, Z. Rapti, Y. Drossinos +3
Practical parameter identifiability in ODE-based epidemiological models is a known issue, yet one that merits further study. It is essentially ubiquitous due to noise and errors in…
The Dissipative Effect of Caputo--Time-Fractional Derivatives and its Implications for the Solutions of Nonlinear Wave Equations
Tassos Bountis, Julia Cantisán, Jesús Cuevas-Maraver +2
In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional diffe…
Breathers in the fractional Frenkel-Kontorova model
J. Catarecha, J. Cuevas-Maraver, P. G. Kevrekidis
In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-Gordon) model to bear interactions that decay algebraically with space, inspired by the con…
Standing and Traveling Waves in a Nonlinearly Dispersive Lattice Model
Ross Parker, Pierre Germain, Jesús Cuevas-Maraver +2
In the work of Colliander et al. (2010), a minimal lattice model was constructed describing the transfer of energy to high frequencies in the defocusing nonlinear Schrödinger equat…
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the transition to non-integrable settings is a central one in the…
Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models
E. G. Charalampidis, G. James, J. Cuevas-Maraver +3
In the present work we explore the potential of models of the discrete nonlinear Schrödinger (DNLS) type to support spatially localized and temporally quasiperiodic solutions on to…
Discrete Breathers in Klein-Gordon Lattices: a Deflation-Based Approach
F. Martin-Vergara, J. Cuevas-Maraver, P. E. Farrell +2
Deflation is an efficient numerical technique for identifying new branches of steady state solutions to nonlinear partial differential equations. Here, we demonstrate how to extend…
Vaccination compartmental epidemiological models for the delta and omicron SARS-CoV-2 variants
J. Cuevas-Maraver, P. G. Kevrekidis, Q. Y. Chen +2
We explore the inclusion of vaccination in compartmental epidemiological models concerning the delta and omicron variants of the SARS-CoV-2 virus that caused the COVID-19 pandemic.…
Dissipative localised structures for the complex Discrete Ginzburg-Landau equation
Dirk Hennig, Nikos I. Karachalios, Jesús Cuevas-Maraver
The discrete complex Ginzburg-Landau equation is a fundamental model for the dynamics of nonlinear lattices incorporating competitive dissipation and energy gain effects. Such mech…
Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
In the present work, we study coherent structures in a one-dimensional discrete nonlinear Schrödinger lattice in which the coupling between waveguides is periodically modulated. Nu…
Scattering-induced splitting of solitons in the discrete NLS equation with saturable nonlinearity
J. F. Tsoplefack, F. Palmero, J. Cuevas-Maraver +2
We study systematically the scattering of solitons on localized impurities in the discrete nonlinear Schrödinger (DNLS) equation with a saturable nonlinearity. We show that, apart…
Discrete breathers in a mechanical metamaterial
H. Duran, J. Cuevas-Maraver, P. G. Kevrekidis +1
We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges.…
The role of mobility in the dynamics of the COVID-19 epidemic in Andalusia
Z. Rapti, J. Cuevas-Maraver, E. Kontou +6
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 us…
Solitary wave billiards
J. Cuevas-Maraver, P. G. Kevrekidis, H. Zhang
In the present work we explore the concept of solitary wave billiards. I.e., instead of a point particle, we examine a solitary wave in an enclosed region and explore its collision…
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations
A. Stefanov, G. A. Tsolias, J. Cuevas-Maraver +1
In the present work we provide a characterization of the ground states of a higher-dimensional quadratic-quartic model of the nonlinear Schr{ö}dinger class with a combination of a…
Backcasting COVID-19: A Physics-Informed Estimate for Early Case Incidence
G. A. Kevrekidis, Z. Rapti, Y. Drossinos +4
It is widely accepted that the number of reported cases during the first stages of the COVID-19 pandemic severely underestimates the number of actual cases. We leverage delay embed…
Floquet solitons in square lattices: Existence, Stability and Dynamics
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
In the present work, we revisit a recently proposed and experimentally realized topological 2D lattice with periodically time-dependent interactions. We identify the fundamental so…
Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices
Faustino Palmero, Mario I. Molina, Jesús Cuevas-Maraver +1
For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly-decaying linear potential bearing a localized eigenmode embedded in the contin…
The closeness of localised structures between the Ablowitz-Ladik lattice and Discrete Nonlinear Schrödinger equations II: Generalised AL and DNLS systems
Dirk Hennig, Nikos I. Karachalios, Jesus Cuevas-Maraver
The Ablowitz-Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ranging from exact spatially localised solitons to ratio…