dorsal/arxiv
View SchemaBihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy
| Authors | Gregorio Falqui, Franco Magri, Marco Pedroni |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9806002 |
| URL | https://arxiv.org/abs/solv-int/9806002 |
| DOI | 10.1007/s002200050452 |
Abstract
We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can be traded for a system of ordinary differential equations of Riccati type, which we call the Central System. We show that the latter can be linearized by means of a Darboux covering, and we use this procedure as an alternative technique to construct rational solutions of the KP equations.
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"abstract": "We use ideas of the geometry of bihamiltonian manifolds, developed by\nGel\u0027fand and Zakharevich, to study the KP equations. In this approach they have\nthe form of local conservation laws, and can be traded for a system of ordinary\ndifferential equations of Riccati type, which we call the Central System. We\nshow that the latter can be linearized by means of a Darboux covering, and we\nuse this procedure as an alternative technique to construct rational solutions\nof the KP equations.",
"arxiv_id": "solv-int/9806002",
"authors": [
"Gregorio Falqui",
"Franco Magri",
"Marco Pedroni"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1007/s002200050452",
"title": "Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9806002"
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