Compactlike breathers: Bridging the continuous with the anticontinuous limit

M. Eleftheriou, B. Dey, G. P. Tsironis

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

We consider discrete nonlinear lattices characterized by on-site nonlinear potentials and nonlinear dispersive interactions that, in the continuous limit, support exact compacton solutions. We show that the compact support feature of the solutions in the continuous limit persists all the way to the anticontinuous limit. While in the large coupling regime the compact discrete breather solution retains the essential simple cosinelike compacton shape, in the close vicinity of the anticontinuous limit it acquires a spatial shape characterized by a fast stretched exponential decay, preserving thus its essentially compact nature. The discrete compact breathers in the anticontinuous limit are generated through a numerically exact procedure and are shown to be generally stable.

Original languageEnglish
Pages (from-to)7540-7543
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number5
DOIs
Publication statusPublished - Jan 1 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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