Observations of localized structures in nonlinear lattices: Domain walls and kinks
Bruce DenardoDepartment of Physics, Naval Postgraduate School, Monterey, California 93943Brian GalvinDepartment of Physics, Naval Postgraduate School, Monterey, California 93943Alan GreenfieldDepartment of Physics, Naval Postgraduate School, Monterey, California 93943Andrés LarrazaDepartment of Physics, Naval Postgraduate School, Monterey, California 93943Seth PuttermanDepartment of Physics, Naval Postgraduate School, Monterey, California 93943William WrightDepartment of Physics, Naval Postgraduate School, Monterey, California 93943
1992en
ABI
Abstract
Steady-state domain walls and kinks have been observed in one-dimensional nonlinear lattices that are damped and parametrically driven. These states are localized robust transition regions between two extended standing-wave domains of definite wave number. The observations are made in an experimental lattice of coupled pendulums and in simplified numerical models. A nonlinear Schr\"odinger theory is developed for kinks in the upper cutoff mode. There is currently no theory for the domain walls and noncutoff kinks, which are fundamentally new localized structures.
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