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

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Abstract

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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Authors and Affiliations

  1. Comenius University, Bratislava, Slovakia

    M. Fečkan

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  1. M. Fečkan
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 1, pp. 127–139, January, 2008.

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Fečkan, M. Periodic moving waves on 2D lattices with nearest-neighbor interactions. Ukr Math J 60, 141–158 (2008). https://doi.org/10.1007/s11253-008-0048-1

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  • DOI: https://doi.org/10.1007/s11253-008-0048-1

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