dorsal/arxiv
View SchemaN Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions
| Authors | Yu. S. J, K. Toda, N. Sasa, T. Fukuyama |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9801003 |
| URL | https://arxiv.org/abs/solv-int/9801003 |
Abstract
We study the integrable systems in higher dimensions which can be written not by the Hirota's bilinear form but by the trilinear form. We explicitly discuss about the Bogoyavlenskii-Schiff(BS) equation in (2 + 1) dimensions. Its analytical proof of multi soliton solution and a new feature are given. Being guided by the strong symmetry, we also propose a new equation in (3 + 1) dimensions.
{
"annotation_id": "e9662c11-45bb-4cfc-9d8f-2ce3daa633f7",
"date_created": "2026-03-02T18:02:51.602000Z",
"date_modified": "2026-03-02T18:02:51.602000Z",
"file_hash": "396ffa840b2ed809a2248dcda301b0182945de29a342059ee3ba1e3fba0c92fb",
"private": false,
"record": {
"abstract": "We study the integrable systems in higher dimensions which can be written not\nby the Hirota\u0027s bilinear form but by the trilinear form. We explicitly discuss\nabout the Bogoyavlenskii-Schiff(BS) equation in (2 + 1) dimensions. Its\nanalytical proof of multi soliton solution and a new feature are given. Being\nguided by the strong symmetry, we also propose a new equation in (3 + 1)\ndimensions.",
"arxiv_id": "solv-int/9801003",
"authors": [
"Yu. S. J",
"K. Toda",
"N. Sasa",
"T. Fukuyama"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "N Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions",
"url": "https://arxiv.org/abs/solv-int/9801003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f4b82a00-cc26-45d7-ab9e-e121651c8ba9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}