Discrete instability in nonlinear lattices

Details Discrete instability in nonlinear lattices Discrete instability in nonlinear lattices

1999-03-18

arxiv.org/abs/cond-mat/9903283v2

Physics

Condensed Matter

1 figure, revtex, published: Phys. Rev. Lett. 83 (1999) 2324

Scientific paper

10.1103/PhysRevLett.83.2324

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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