An algebraic approach to discrete breather construction

G. P. Tsironis

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We obtain useful analytic discrete breather solutions in the form of elliptic functions for a large class of physically relevant nonlinear lattices through the application of an algebraic approach. The method we introduce is quite accurate and applies equally well to optic and acoustic chains. We present explicit results for phi;4 and Fermi-Pasta-Ulam lattices and discuss their implications to breather properties such as generation and mobility. The method is useful also in cases where no explicit analytic solutions can be obtained. In the context of the present approach, discrete breathers are shown to be localized cnoidal modes of nonlinear lattices.

Original languageEnglish
Pages (from-to)951-957
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number4
DOIs
Publication statusPublished - Feb 1 2002
Externally publishedYes

Fingerprint

Discrete Breathers
Nonlinear Lattice
Algebraic Approach
Optics
Acoustics
Breathers
Elliptic function
Analytic Solution
elliptic functions
optics
acoustics
Form
Context
Class

ASJC Scopus subject areas

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

Cite this

An algebraic approach to discrete breather construction. / Tsironis, G. P.

In: Journal of Physics A: Mathematical and General, Vol. 35, No. 4, 01.02.2002, p. 951-957.

Research output: Contribution to journalArticle

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