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 language | English (US) |
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Pages (from-to) | 6151-6154 |
Number of pages | 4 |
Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
Volume | 55 |
Issue number | 5 |
DOIs | |
State | Published - 1997 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics