39 citations · 163 across the 14 of their papers we have counts for
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math.DS2009★ 20 cited
Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein--Gordon lattices
D. Bambusi, S. Paleari, T. Penati
We construct small amplitude breathers in 1D and 2D Klein--Gordon infinite lattices. We also show that the breathers are well approximated by the ground state of the nonlinear Schr…
math.DS2009★ 28 cited
Continuous approximation of breathers in one and two dimensional DNLS lattices
D. Bambusi, T. Penati
In this paper we construct and approximate breathers in the DNLS model starting from the continuous limit: such periodic solutions are obtained as perturbations of the ground state…