%0 Journal Article
%T Continuous approximation of breathers in one and two dimensional DNLS lattices
%A D. Bambusi
%A T. Penati
%J Mathematics
%D 2009
%I arXiv
%R 10.1088/0951-7715/23/1/008
%X 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 of the NLS model in $H^1(\RR^n)$, with $n=1,2$. In both the dimensions we recover the Sievers-Takeno (ST) and the Page (P) modes; furthermore, in $\RR^2$ also the two hybrid (H) modes are constructed. The proof is based on the interpolation of the lattice using the Finite Element Method (FEM).
%U http://arxiv.org/abs/0909.1942v1