Dynamics of nonlinear localized states on finite discrete chains

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

Research output: Contribution to journalArticlepeer-review


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
Issue number5
StatePublished - 1997

ASJC Scopus subject areas

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


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