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 SUPPL. B
StatePublished - May 1997

Fingerprint

Solitons
solitary waves
Boundary Effect
Motion
free boundaries
Effective Potential
nonlinear systems
Finiteness
direct numerical simulation
Free Boundary
Discrete Systems
Nonlinear Systems
Demonstrate
Direct numerical Simulation
Framework

ASJC Scopus subject areas

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

Cite this

Dynamics of nonlinear localized states on finite discrete chains. / Rasmussen, K.; Cai, David; Bishop, A. R.; Grønbech-Jensen, Niels.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 5 SUPPL. B, 05.1997, p. 6151-6154.

Research output: Contribution to journalArticle

Rasmussen, K, Cai, D, Bishop, AR & Grønbech-Jensen, N 1997, 'Dynamics of nonlinear localized states on finite discrete chains', Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 55, no. 5 SUPPL. B, pp. 6151-6154.
Rasmussen, K. ; Cai, David ; Bishop, A. R. ; Grønbech-Jensen, Niels. / Dynamics of nonlinear localized states on finite discrete chains. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1997 ; Vol. 55, No. 5 SUPPL. B. pp. 6151-6154.
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