Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1997-09-17
Nonlinear Sciences
Pattern Formation and Solitons
6 pages, 2 Figs. Submitted to PRL
Scientific paper
10.1016/S0375-9601(98)00577-5
We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice. The lattice is subject to an on-site potential in addition to longitudinal nonlinear inter-particle interactions. This study investigates the prediction that stable breather-like solitons could be formed as a result of energetic scattering events in a given layered crystal and would propagate in atomic-chain directions in certain atomic planes. This prediction arose from a long-term study of previously unexplained dark lines in natural crystals of muscovite mica.
Eilbeck Chris J.
Marin J. L.
Russell F. M.
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