dorsal/arxiv
View SchemaCasorati Determinant Solution for the Relativistic Toda Lattice Equation
| Authors | Yasuhiro Ohta, Kenji Kajiwara, Junkichi Satsuma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9304002 |
| URL | https://arxiv.org/abs/solv-int/9304002 |
| DOI | 10.1063/1.530298 |
Abstract
The relativistic Toda lattice equation is decomposed into three Toda systems, the Toda lattice itself, B\"acklund transformation of Toda lattice and discrete time Toda lattice. It is shown that the solutions of the equation are given in terms of the Casorati determinant. By using the Casoratian technique, the bilinear equations of Toda systems are reduced to the Laplace expansion form for determinants. The $N$-soliton solution is explicitly constructed in the form of the Casorati determinant.
{
"annotation_id": "b8c28905-70f5-48ab-b5b2-326f8d43274f",
"date_created": "2026-03-02T18:02:48.237000Z",
"date_modified": "2026-03-02T18:02:48.237000Z",
"file_hash": "aae2a5f1f540abba743ab8bb51b9f47bd8d7811e07b435b81cf6d5fc929165eb",
"private": false,
"record": {
"abstract": "The relativistic Toda lattice equation is decomposed into three Toda systems,\nthe Toda lattice itself, B\\\"acklund transformation of Toda lattice and discrete\ntime Toda lattice. It is shown that the solutions of the equation are given in\nterms of the Casorati determinant. By using the Casoratian technique, the\nbilinear equations of Toda systems are reduced to the Laplace expansion form\nfor determinants. The $N$-soliton solution is explicitly constructed in the\nform of the Casorati determinant.",
"arxiv_id": "solv-int/9304002",
"authors": [
"Yasuhiro Ohta",
"Kenji Kajiwara",
"Junkichi Satsuma"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.530298",
"title": "Casorati Determinant Solution for the Relativistic Toda Lattice Equation",
"url": "https://arxiv.org/abs/solv-int/9304002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e286a0e6-f360-448d-9734-f2e631c6c6cf",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}