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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© 2001 Springer Science+Business Media Dordrecht
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Konotop, V.V. (2001). Resonant Mode Interactions in Nonlinear Lattices. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_10
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DOI: https://doi.org/10.1007/978-94-010-0542-5_10
Publisher Name: Springer, Dordrecht
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