Lagrangian approach to integrable systems yields new symplectic structures for KdV (Q2738422)
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scientific article; zbMATH DE number 1639568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lagrangian approach to integrable systems yields new symplectic structures for KdV |
scientific article; zbMATH DE number 1639568 |
Statements
3 April 2002
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degenerate Lagrangian
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Dirac's theory of constraints
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integrable system
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first Hamiltonian structure of KdV
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symplectic structure
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Lagrangian approach to integrable systems yields new symplectic structures for KdV (English)
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The starting point of this paper is the remark that degenerate Lagrangians yield Hamiltonian operators for integrable systems via Dirac's theory of constraints. This fact is illustrated by a systematic discussion of the first Hamiltonian structure of KdV. As a conclusion, the author obtains that KdV admits infinitely many Lagrangian formulations, and therefore infinitely many symplectic structures.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00039].
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