Article ID Journal Published Year Pages File Type
9877676 Physica D: Nonlinear Phenomena 2005 12 Pages PDF
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|−d 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
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