70 citations · 630 across the 58 of their papers we have counts for
9 papers · 1 filter
An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices
Haitao Xu, Jesús Cuevas--Maraver, Panayotis G. Kevrekidis +1
In this work, we revisit a criterion, originally proposed in [Nonlinearity {\bf 17}, 207 (2004)], for the stability of solitary traveling waves in Hamiltonian, infinite-dimensional…
Stabilization of the Peregrine soliton and Kuznetsov-Ma breathers by means of nonlinearity and dispersion management
J. Cuevas-Maraver, B. A. Malomed, P. G. Kevrekidis +1
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 prop…
A Korteweg-de Vries description of dark solitons in polariton superfluids
R. Carretero-González, J. Cuevas-Maraver, D. J. Frantzeskakis +3
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 equat…
Impulse-induced localized nonlinear modes in an electrical lattice
F. Palmero, J. Cuevas-Maraver, L. Q. English +1
Intrinsic localized modes, also called discrete breathers, can exist under certain conditions in one-dimensional nonlinear electrical lattices driven by external harmonic excitatio…
Solitary waves in the Nonlinear Dirac Equation
J. Cuevas-Maraver, N. Boussaïd, A. Comech +3
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-interacti…
Interactions and scattering of quantum vortices in a polariton fluid
Lorenzo Dominici, R. Carretero-Gonzalez, Jesus Cuevas-Maraver +9
Quantum vortices, the quantized version of classical vortices, play a prominent role in superfluid and superconductor phase transitions. However, their exploration at a particle le…
Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum
J. Cuevas-Maraver, P. G. Kevrekidis, A. B. Aceves +1
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 pe…
Floquet Analysis of Kuznetsov--Ma breathers: A Path Towards Spectral Stability of Rogue Waves
J. Cuevas-Maraver, P. G. Kevrekidis, D. J. Frantzeskakis +3
In the present work, we aim at taking a step towards the spectral stability analysis of Peregrine solitons, i.e., wave structures that are used to emulate extreme wave events. Give…
A Unifying Perspective: Solitary Traveling Waves As Discrete Breathers And Energy Criteria For Their Stability
J. Cuevas-Maraver, P. G. Kevrekidis, A. Vainchtein +1
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-Pas…