dorsal/arxiv
View SchemaNotes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions
| Authors | R. Myrzakulov |
|---|---|
| Categories | |
| ArXiv ID | physics/0412153 |
| URL | https://arxiv.org/abs/physics/0412153 |
Abstract
The vortex filament equations (VFE) in 1+1 and 2+1 dimensions are considered. Some of these equations are integrable. Also the VFE with potentials and with self-consistent potentials are presented. Finally several examples of integrable dispersionless VFE (dVFE) are considered.
{
"annotation_id": "7eba1a7f-df55-4135-8881-58fa76a7cb21",
"date_created": "2026-03-02T18:00:53.695000Z",
"date_modified": "2026-03-02T18:00:53.695000Z",
"file_hash": "b9e19b849d09eced39b5c7c09c8b3503c66a5b024e78217639e8b0dd3792d415",
"private": false,
"record": {
"abstract": "The vortex filament equations (VFE) in 1+1 and 2+1 dimensions are considered.\nSome of these equations are integrable. Also the VFE with potentials and with\nself-consistent potentials are presented. Finally several examples of\nintegrable dispersionless VFE (dVFE) are considered.",
"arxiv_id": "physics/0412153",
"authors": [
"R. Myrzakulov"
],
"categories": [
"physics.flu-dyn"
],
"title": "Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions",
"url": "https://arxiv.org/abs/physics/0412153"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "94c55bf1-b8dc-4e18-88e8-effc060bb0c7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}