Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations
arXiv:nlin/0502043 · doi:10.1088/0951-7715/19/1/002
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.