Dynamics of nonlinear localized states on finite discrete chains

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.6151· OSTI ID:503674

Rasmussen, K O; Cai, D; Bishop, A R

We present an analysis of boundary effects on soliton motion in one-dimensional discrete nonlinear Schr{umlt o}dinger 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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 503674
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY CONDITIONS
HAMILTONIANS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
POTENTIAL ENERGY
SCHROEDINGER EQUATION
SOLITONS