2005/02/28 by A. V. Gorbach, S. Flach
Physics and Astronomy · #nlin.PS
paper · pdf · doi:10.1103/physreve.72.056607
published as Phys. Rev. E 72, 056607 (2005) · 5 pages, 4 figures, revised version, published in PRE
arxiv created 2005/11/21 · arxiv updated 2009/12/01
Discrete breathers with purely anharmonic short-range interaction potentials localize super-exponentially becoming compact-like. We analyze their spatial localization properties and their dynamical stability. Several branches of solutions are identified. One of them connects to the well-known Page and Sievers-Takeno lattice modes, another one connects with the compacton solutions of Rosenau. The absence of linear dispersion allows for extremely long-lived time-quasiperiodic localized excitations. Adding long-range anharmonic interactions leads to an extreme case of competition between length scales defining the spatial breather localization. We show that short- and long-range interaction terms competition results in the appearance of several characteristic cross-over lengths and essentially breaks the concept of compactness of the corresponding discrete breathers.