dorsal/arxiv
View SchemaThree dimensional bright vortex soliton
| Authors | L. M. Kovachev |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9902008 |
| URL | https://arxiv.org/abs/patt-sol/9902008 |
Abstract
Using the method of separation of variables, we developed a vector nonparaxial theory for the nonlinear wave equations in strong field approximation. We found that exact localized vortex soliton solution exists for the nonlinear 3D+1 vector wave equation and for 3D+1 vector nonlinear Schr\"{o}dinger equation. This method is applicable for angular functions, which satisfy additional conditions. It is shown that exact vortex solitary wave exists only for solution with eigenvalue of momentum L=1
{
"annotation_id": "f0845a52-4480-4ab6-8ddc-a2fa18e2896e",
"date_created": "2026-03-02T18:00:28.668000Z",
"date_modified": "2026-03-02T18:00:28.668000Z",
"file_hash": "ae762f689f0502d0448dfbe1ca373bbc2a8283b621ec3016e2024dfb0ce4dc5b",
"private": false,
"record": {
"abstract": "Using the method of separation of variables, we developed a vector\nnonparaxial theory for the nonlinear wave equations in strong field\napproximation. We found that exact localized vortex soliton solution exists for\nthe nonlinear 3D+1 vector wave equation and for 3D+1 vector nonlinear\nSchr\\\"{o}dinger equation. This method is applicable for angular functions,\nwhich satisfy additional conditions. It is shown that exact vortex solitary\nwave exists only for solution with eigenvalue of momentum L=1",
"arxiv_id": "patt-sol/9902008",
"authors": [
"L. M. Kovachev"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Three dimensional bright vortex soliton",
"url": "https://arxiv.org/abs/patt-sol/9902008"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "505e0f9d-0e60-4e8f-93ce-aff3fd575921",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}