Continuous approximation of breathers in one- and two-dimensional DNLS lattices
- 10 December 2009
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 23 (1) , 143-157
Abstract
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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