Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877676 | Physica D: Nonlinear Phenomena | 2005 | 12 Pages |
Abstract
Local and global existence of localized solutions of a discrete nonlinear Schrödinger (DNLS) equation, with arbitrary on-site nonlinearity, is proved. In particular, it is shown that an initially localized excitation persists localized during infinite time. Moreover, if initial localization is stronger than |n|âd with any power d, it maintains itself as such during infinite time. The results are generalized to various types of inter-side and saturable nonlinearities, to lattices with long range interactions, as well as DNLS with dissipation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P. Pacciani, V.V. Konotop, G. Perla Menzala,