70 citations · 630 across the 58 of their papers we have counts for
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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…
The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation
Dirk Hennig, Nikos I. Karachalios, Jesús Cuevas-Maraver
While the Ablowitz-Ladik lattice is integrable, the Discrete Nonlinear Schrödinger equation, which is more significant for physical applications, is not. We prove closeness of the…