Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms

A. V. Gorbach, S. Flach

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

Discrete breathers with purely anharmonic short-range interaction potentials localize superexponentially becoming compactlike. 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 crossover lengths and essentially breaks the concept of compactness of the corresponding discrete breathers.

Original languageEnglish
Article number056607
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number5
DOIs
Publication statusPublished - 8 Nov 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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