Resonant mode interactions in nonlinear lattices
Statistical Mechanics
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/0106275,
title = {Resonant mode interactions in nonlinear lattices},
author = {V. v. Konotop},
journal= {arXiv preprint arXiv:cond-mat/0106275},
year = {2007}
}
Comments
To appear in "Nonlinearity and Disorder: Theory and Applications" Eds. F. Kh. Abdullaev, O. Bang, M. P. Soerensen (Kluwer Academic Publishers, 2001)