Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations
Pattern Formation and Solitons
2009-11-11 v2
Abstract
It is shown that the periodic DNLS, with cubic nonlinearity, possesses gap solutions, i. e. standing waves, with the frequency in a spectral gap, that are exponentially localized in spatial variable. The proof is based on the linking theorem in combination with periodic approximations.
Keywords
Cite
@article{arxiv.nlin/0502043,
title = {Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations},
author = {A. Pankov},
journal= {arXiv preprint arXiv:nlin/0502043},
year = {2009}
}