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

• Published in: Український математичний журнал
• Date: 2008
• Main Author: Fečkan, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164508
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Periodic moving waves on 2D lattices with nearest-neighbor interactions / M. Fečkan // Український математичний журнал. — 2008. — Т. 60, № 1. — С. 127–139. — Бібліогр.: 14 назв. — англ.

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. Вивчено питання існуванн...