Self-trapping properties and recurrence phenomena in a modified discrete non-linear Schrodinger equation

G. Kalosakas, G. P. Tsironis, E. N. Economou

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We study the properties of a modified discrete non-linear Schrodinger equation (MDNLS) that arises from the coupling of an excitation to an acoustic chain. We find exact results for self-trapping in chains of two and three sites and approximate results for longer chains. We also study possible recurrence phenomena in the equation and compare our findings with those of the standard DNLS as well as the integrable DNLS. We find that dynamics in MDNLS becomes more rapidly irregular compared to the other two equations.

Original languageEnglish
Pages (from-to)7847-7856
Number of pages10
JournalJournal of Physics Condensed Matter
Volume6
Issue number39
DOIs
Publication statusPublished - 1994
Externally publishedYes

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Schrodinger equation
nonlinear equations
trapping
Acoustics
acoustics
excitation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Self-trapping properties and recurrence phenomena in a modified discrete non-linear Schrodinger equation. / Kalosakas, G.; Tsironis, G. P.; Economou, E. N.

In: Journal of Physics Condensed Matter, Vol. 6, No. 39, 1994, p. 7847-7856.

Research output: Contribution to journalArticle

Kalosakas, G. ; Tsironis, G. P. ; Economou, E. N. / Self-trapping properties and recurrence phenomena in a modified discrete non-linear Schrodinger equation. In: Journal of Physics Condensed Matter. 1994 ; Vol. 6, No. 39. pp. 7847-7856.
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