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Resonant mode interactions in nonlinear lattices

V. v. Konotop
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Abstract

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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V. v. Konotop. 2001-06-14. Resonant mode interactions in nonlinear lattices. https://arxiv.org/abs/cond-mat/0106275

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