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Artículo
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 (KMBs) effectively stable objects, with the help of properly defined dispersion or nonlinearity ...
Artículo
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 the physics of ultracold bosonic gases, with generic Gaussian wavepacket initial data. The ...
Artículo
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 model. We approach the problem both from a near-continuum perspective as well as from a highly discrete ...
Artículo
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 transitions. However, their exploration at a particle level in open quantum systems has gained ...
Artículo
Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models
(Elsevier, 2024-07)
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 top of a finite background. Such solutions ...
Artículo
Vaccination compartmental epidemiological models for the delta and omicron SARS-CoV-2 variants
(Elsevier, 2024-01)
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. We expand on our earlier compartmental-model ...
Artículo
Discrete breathers in Klein–Gordon lattices. A deflation-based approach
(American Institute of Physics, 2023-11-21)
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 deflation to discover new periodic orbits ...
Artículo
Standing and traveling waves in a model of periodically modulated one-dimensional waveguide arrays
(American Physical Society, 2023-08)
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. Numerical experiments with single-site initial ...