The Kowalevski top: its \(r\)-matrix interpretation and bihamiltonian formulation
type: Item
instance of: scholarly article
title: The Kowalevski top: its \(r\)-matrix interpretation and bihamiltonian formulation
zbMATH Open document ID: 0966.37034
author: I. D. Marshall
published in: Communications in Mathematical Physics
publication date: 1998-10-21T00:00:00Z
review text: The author obtains the Lax pair representation for the Kowalevski top, or more precisely the Kowalevski gyrostat for which \(p=3\) and \(q=2\). Using the method of Reyman and Semenov-Tian-Shansky the author finds a bihamiltonian version of the integrability of the Kowalevski gyrostat.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70E05
Mathematics Subject Classification ID: 70H06
zbMATH DE Number: 1213873
zbMATH Keywords: \(r\)-matrix
zbMATH Keywords: Lax pair representation
zbMATH Keywords: Kowalevski top
zbMATH Keywords: Kowalevski gyrostat
MaRDI profile type: Publication
full work available at URL: s002200050285
OpenAlex ID: W2011635260
DOI: 10.1007/S002200050285
description: scientific article; zbMATH DE number 1213873