Periodic moving waves on 2D lattices with nearest-neighbor interactions

We study the existence of periodic moving waves on two-dimensional periodically forced lattices with linear coupling between nearest particles and with periodic nonlinear substrate potentials. Such discrete systems can model molecules adsorbed on a substrate crystal surface.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2008, Vol.60 (1), p.141-158
Main Author: Fečkan, M.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We study the existence of periodic moving waves on two-dimensional periodically forced lattices with linear coupling between nearest particles and with periodic nonlinear substrate potentials. Such discrete systems can model molecules adsorbed on a substrate crystal surface.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-008-0048-1