dorsal/arxiv
View SchemaOn Integrability and Chaos in Discrete Systems
| Authors | M. J. Ablowitz, Y. Ohta, A. D. Trubatch |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9810020 |
| URL | https://arxiv.org/abs/solv-int/9810020 |
Abstract
The scalar nonlinear Schrodinger (NLS) equation and a suitable discretization are well known integrable systems which exhibit the phenomena of ``effective'' chaos. Vector generalizations of both the continuous and discrete system are discussed. Some attention is directed upon the issue of the integrability of a discrete version of the vector NLS equation.
{
"annotation_id": "25aae6ce-6caa-43c1-bf9e-5c461bf5fceb",
"date_created": "2026-03-02T18:02:50.966000Z",
"date_modified": "2026-03-02T18:02:50.966000Z",
"file_hash": "9afa4b7ce9cb5bdef015a5a1a1fa8b07bd2b0410f2aad816e03934de3567305e",
"private": false,
"record": {
"abstract": "The scalar nonlinear Schrodinger (NLS) equation and a suitable discretization\nare well known integrable systems which exhibit the phenomena of ``effective\u0027\u0027\nchaos. Vector generalizations of both the continuous and discrete system are\ndiscussed. Some attention is directed upon the issue of the integrability of a\ndiscrete version of the vector NLS equation.",
"arxiv_id": "solv-int/9810020",
"authors": [
"M. J. Ablowitz",
"Y. Ohta",
"A. D. Trubatch"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On Integrability and Chaos in Discrete Systems",
"url": "https://arxiv.org/abs/solv-int/9810020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "63516502-1d15-4ef4-a2d3-3668f91f7868",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}