English

Obtaining Breathers in Nonlinear Hamiltonian Lattices

patt-sol 2009-10-28 v1 Condensed Matter Pattern Formation and Solitons

Abstract

We present a numerical method for obtaining high-accuracy numerical solutions of spatially localized time-periodic excitations on a nonlinear Hamiltonian lattice. We compare these results with analytical considerations of the spatial decay. We show that nonlinear contributions have to be considered, and obtain very good agreement between the latter and the numerical results. We discuss further applications of the method and results.

Keywords

Cite

@article{arxiv.patt-sol/9501005,
  title  = {Obtaining Breathers in Nonlinear Hamiltonian Lattices},
  author = {Sergej Flach},
  journal= {arXiv preprint arXiv:patt-sol/9501005},
  year   = {2009}
}

Comments

21 pages (LaTeX), 8 figures in ps-files, tar-compressed uuencoded file, Physical Review E, in press

R2 v1 2026-07-22T18:47:25.243Z