dorsal/arxiv
View SchemaIntegrable nonlinear field equations and loop algebra structures
| Authors | E. Alfinito, M. Leo, R. A. Leo, M. Palese, G. Soliani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9501008 |
| URL | https://arxiv.org/abs/solv-int/9501008 |
| DOI | 10.1016/0370-2693(95)00561-X |
| Journal | Phys. Lett. B352, 314 (1995) |
Abstract
We apply the (direct and inverse) prolongation method to a couple of nonlinear Schr{\"o}dinger equations. These are taken as a laboratory field model for analyzing the existence of a connection between the integrability property and loop algebras. Exploiting a realization of the Kac-Moody type of the incomplete prolongation algebra associated with the system under consideration, we develop a procedure with allows us to generate a new class of integrable nonlinear field equations containing the original ones as a special case.
{
"annotation_id": "57c0b8d8-7eef-4dbc-81a2-39d8edc4fbc5",
"date_created": "2026-03-02T18:02:48.047000Z",
"date_modified": "2026-03-02T18:02:48.047000Z",
"file_hash": "f87d520556d2cba7cbd406d35cef2c6fb6d78031989422a9730fca325d7738aa",
"private": false,
"record": {
"abstract": "We apply the (direct and inverse) prolongation method to a couple of\nnonlinear Schr{\\\"o}dinger equations. These are taken as a laboratory field\nmodel for analyzing the existence of a connection between the integrability\nproperty and loop algebras. Exploiting a realization of the Kac-Moody type of\nthe incomplete prolongation algebra associated with the system under\nconsideration, we develop a procedure with allows us to generate a new class of\nintegrable nonlinear field equations containing the original ones as a special\ncase.",
"arxiv_id": "solv-int/9501008",
"authors": [
"E. Alfinito",
"M. Leo",
"R. A. Leo",
"M. Palese",
"G. Soliani"
],
"categories": [
"solv-int",
"cond-mat",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/0370-2693(95)00561-X",
"journal_ref": "Phys. Lett. B352, 314 (1995)",
"title": "Integrable nonlinear field equations and loop algebra structures",
"url": "https://arxiv.org/abs/solv-int/9501008"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9d98de39-a978-447d-84fd-73ba2f766372",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}