The Kowalevski top: its \(r\)-matrix interpretation and bihamiltonian formulation (Q1270133)
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scientific article; zbMATH DE number 1213873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Kowalevski top: its \(r\)-matrix interpretation and bihamiltonian formulation |
scientific article; zbMATH DE number 1213873 |
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The Kowalevski top: its \(r\)-matrix interpretation and bihamiltonian formulation (English)
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21 October 1998
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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.
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\(r\)-matrix
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Lax pair representation
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Kowalevski top
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Kowalevski gyrostat
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