Continuous approximation of breathers in one and two dimensional DNLS lattices

Details Continuous approximation of breathers in one and two dimensional DNLS lattices Continuous approximation of breathers in one and two dimensional DNLS lattices

2009-09-10

arxiv.org/abs/0909.1942v1

Mathematics

Dynamical Systems

Scientific paper

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).

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