70 citations · 630 across the 58 of their papers we have counts for
3 papers · 1 filter
Stability of traveling waves in a driven Frenkel-Kontorova model
A. Vainchtein, J. Cuevas-Maraver, P. G. Kevrekidis +1
In this work we revisit a classical problem of traveling waves in a damped Frenkel-Kontorova lattice driven by a constant external force. We compute these solutions as fixed points…
Vortex Pairs in the Discrete Nonlinear Schrödinger Equation
J. J. Bramburger, J. Cuevas-Maraver, P. G. Kevrekidis
The aim of the present work is to examine the role of discreteness in the interaction of both co-winding and counter-winding vortices in the context of the nonlinear Schr{ö}dinger…
Discrete breathers in and related models
J. Cuevas-Maraver, P. G. Kevrekidis
We touch upon the wide topic of discrete breather formation with a special emphasis on the the model. We start by introducing the model and discussing some of the application…