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Discrete instability in nonlinear lattices

J. Leon·M. Manna
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Abstract

The discrete multiscale analysis for boundary value problems in nonlinear discrete systems leads to a first order discrete modulational instability above a threshold amplitude for wave numbers beyond the zero of group velocity dispersion. Applied to the electrical lattice [Phys. Rev. E, 51 (1995) 6127 ], this acurately explains the experimental instability at wave numbers beyond 1.25 . The theory is also briefly discussed for sine-Gordon and Toda lattices.

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J. Leon, M. Manna. 1999-10-14. Discrete instability in nonlinear lattices. https://doi.org/10.1103/physrevlett.83.2324

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