Dynamics of nonlinear localized states on finite discrete chains

K. Rasmussen, David Cai, A. R. Bishop, Niels Grønbech-Jensen

Research output: Contribution to journalArticle

Abstract

We present an analysis of boundary effects on soliton motion in one-dimensional discrete nonlinear Schrödinger systems. In an effective point particle framework, we derive effective potentials induced, respectively, by fixed and free boundaries for the integrable case. We establish an effective Hamiltonian that captures the soliton dynamics under the combined effects of the finiteness of the lattice size and the discreteness of nonintegrable systems. Our direct numerical simulations demonstrate that these potentials can describe the soliton motion excellently.

Original languageEnglish (US)
Pages (from-to)6151-6154
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number5
DOIs
StatePublished - 1997

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Dynamics of nonlinear localized states on finite discrete chains'. Together they form a unique fingerprint.

  • Cite this