Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints

Details Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints

2004-12-21

arxiv.org/abs/nlin/0412052v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevB.71.014304

Geometrical constraints imposed on higher dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are shown to be described by sine- plus linear-lattice equations. The interplay between sinusoidal and quadratic potential terms in such models is shown to yield localized nonlinear modes identified as intrinsic resonant modes.

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