44 citations · 79 across the 3 of their papers we have counts for
3 papers
nlin.PS2012★ 17 cited
Escape Dynamics in the Discrete Repulsive ϕ^4-Model
V. Achilleos, A. Álvarez, J. Cuevas +4
We study deterministic escape dynamics in the framework of the discrete Klein-Gordon modelwith a repulsive quartic on-site potential. Using a combination of analytical techniques,…
nlin.PS2011★ 18 cited
Breathers for the Discrete Nonlinear Schrödinger equation with nonlinear hopping
N. I. Karachalios, B. Sánchez-Rey, P. G. Kevrekidis +1
We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approa…
nlin.PS2003★ 44 cited
Bright and dark breathers in Fermi-Pasta-Ulam lattices
B. Sánchez-Rey, G. James, J. Cuevas +1
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent b…