The \(r\)-matrix for constrained flows (Q1919029)
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scientific article; zbMATH DE number 908282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(r\)-matrix for constrained flows |
scientific article; zbMATH DE number 908282 |
Statements
The \(r\)-matrix for constrained flows (English)
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17 March 1997
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In this short paper the author starts out from the Lax representation for the constrained flows of the AKNS hierarchy [cf. the author and \textit{Y. Li}, J. Phys. A, Math. Gen. 26, No. 5, L 273--L 278 (1993; Zbl 0772.58019)]. Then he switches to the corresponding classical Poisson structure in which the \(r\)-matrix enters. With the help of these expressions he determines a family of integrals of motion.
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Lax representation
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constrained flows
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AKNS hierarchy
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Poisson structure
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\(r\)-matrix
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integrals of motion
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0.8795152
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0.87673545
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0.8690024
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0.86618257
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0.86528456
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0.84879816
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