dorsal/arxiv
View SchemaMultidimensional Localized Solitons
| Authors | M. Boiti, L. Martina, F. Pempinelli |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9311002 |
| URL | https://arxiv.org/abs/patt-sol/9311002 |
Abstract
Recently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are integrable by the use of the Spectral Transform, admit localized (in the space) soliton solutions. This article briefly reviews some of the main results obtained in the last five years thanks to the renewed interest in soliton theory due to this discovery. The theoretical tools needed to understand the unexpected richness of behaviour of multidimensional localized solitons during their mutual scattering are furnished. Analogies and especially discrepancies with the unidimensional case are stressed.
{
"annotation_id": "b235d9c3-3cf4-4119-987d-652b6dceef12",
"date_created": "2026-03-02T18:00:28.831000Z",
"date_modified": "2026-03-02T18:00:28.831000Z",
"file_hash": "e7e49d9416afafe1f951a284ab46c4989638daf6d71f05f804b262c53bb97bda",
"private": false,
"record": {
"abstract": "Recently it has been discovered that some nonlinear evolution equations in\n2+1 dimensions, which are integrable by the use of the Spectral Transform,\nadmit localized (in the space) soliton solutions. This article briefly reviews\nsome of the main results obtained in the last five years thanks to the renewed\ninterest in soliton theory due to this discovery. The theoretical tools needed\nto understand the unexpected richness of behaviour of multidimensional\nlocalized solitons during their mutual scattering are furnished. Analogies and\nespecially discrepancies with the unidimensional case are stressed.",
"arxiv_id": "patt-sol/9311002",
"authors": [
"M. Boiti",
"L. Martina",
"F. Pempinelli"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Multidimensional Localized Solitons",
"url": "https://arxiv.org/abs/patt-sol/9311002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7bce097c-f064-46a5-b5b7-7f9f113bd45a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}