Continuous approximation of breathers in one and two dimensional DNLS lattices
Dynamical Systems
2015-05-14 v1
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 , with . In both the dimensions we recover the Sievers-Takeno (ST) and the Page (P) modes; furthermore, in also the two hybrid (H) modes are constructed. The proof is based on the interpolation of the lattice using the Finite Element Method (FEM).
Cite
@article{arxiv.0909.1942,
title = {Continuous approximation of breathers in one and two dimensional DNLS lattices},
author = {D. Bambusi and T. Penati},
journal= {arXiv preprint arXiv:0909.1942},
year = {2015}
}