Dynamics of self-trapping in the discrete nonlinear Schrödinger equation

M. I. Molina, G. P. Tsironis

Research output: Contribution to journalArticlepeer-review

65 Citations (Scopus)


We study dynamical aspects of the discrete nonlinear Schrödinger equation (DNLS) for chains of different sizes with periodic and open boundary conditions. We focus on the occurrence of a self-trapping transition in the different geometries. The initial condition used is that which places the particle (or power) on one lattice site (or nonlinear waveguide) and the quantity studied is the time-averaged probability for the particle to remain in that site. We show that the self-trapping transition in long chains occurs for parameter values not very different from that for very small clusters.

Original languageEnglish
Pages (from-to)267-273
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Issue number3
Publication statusPublished - May 30 1993

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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