Resonant mode interactions in nonlinear lattices

Details Resonant mode interactions in nonlinear lattices Resonant mode interactions in nonlinear lattices

2001-06-14

arxiv.org/abs/cond-mat/0106275v1

Physics

Condensed Matter

Statistical Mechanics

To appear in "Nonlinearity and Disorder: Theory and Applications" Eds. F. Kh. Abdullaev, O. Bang, M. P. Soerensen (Kluwer Acad

Scientific paper

Resonant mode interactions in weakly nonlinear multi-dimensional lattices and
related effects are described. We concentrate on formal description of the
phenomenon and consider as examples mode interactions and evolution equations
for quadratic solitons in two-dimensional lattices, and coherent structures in
a double-chain as examples of the application of the theory.

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