dorsal/arxiv
View SchemaReduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy
| Authors | G. Falqui, F. Magri, G. Tondo |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9906009 |
| URL | https://arxiv.org/abs/solv-int/9906009 |
| DOI | 10.1007/BF02551195 |
Abstract
We discuss the Boussinesq system with $t_5$ stationary, within a general framework for the analysis of stationary flows of n-Gel'fand-Dickey hierarchies. We show how a careful use of its bihamiltonian structure can be used to provide a set of separation coordinates for the corresponding Hamilton--Jacobi equations.
{
"annotation_id": "f614c2c0-241c-4a70-a40e-1f12883affed",
"date_created": "2026-03-02T18:02:51.386000Z",
"date_modified": "2026-03-02T18:02:51.386000Z",
"file_hash": "1314141b9e221bfdc2cba5fbdbd001fd93b786a73210c5c4b84a89e44c3145fd",
"private": false,
"record": {
"abstract": "We discuss the Boussinesq system with $t_5$ stationary, within a general\nframework for the analysis of stationary flows of n-Gel\u0027fand-Dickey\nhierarchies. We show how a careful use of its bihamiltonian structure can be\nused to provide a set of separation coordinates for the corresponding\nHamilton--Jacobi equations.",
"arxiv_id": "solv-int/9906009",
"authors": [
"G. Falqui",
"F. Magri",
"G. Tondo"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1007/BF02551195",
"title": "Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy",
"url": "https://arxiv.org/abs/solv-int/9906009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f38c0885-9647-4204-98a5-c7b0297923b7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}