Phys. Rev. Lett. 83, 2324–2327 (1999)Discrete Instability in Nonlinear LatticesReceived 18 March 1999; published in the issue dated 20 September 1999 The discrete multiscale analysis for boundary value problems in nonlinear discrete systems leads to a first order, strictly discrete, modulational instability (disappearing in the continuous envelope limit) above a threshold amplitude for wave numbers beyond the zero of group velocity dispersion. Applied to the electrical lattice [Phys. Rev. E 51, 6127 (1995)], this accurately explains the experimental instability at wave numbers beyond 1.25radcell-1. The theory is also briefly discussed for the sine-Gordon and Toda lattices. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.2324
DOI:
10.1103/PhysRevLett.83.2324
PACS:
42.65.-k, 05.40.-a
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