Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems (Q1085500)
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scientific article; zbMATH DE number 3982112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems |
scientific article; zbMATH DE number 3982112 |
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Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems (English)
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1986
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If X is a submanifold of the phase space of a Hamiltonian system with Poisson bracket \(\{\), \(\}\), the author chooses a new bracket \(\{\), \(\}\) \({}^*\) that will turn X into a symplectic manifold. The theory is used to give ''a new look at the Hamiltonian structure of the Korteweg-de Vries, Kadomtsev-Petviashvili, and sine-Gordon (in light-cone coordinates) equations''.
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phase space
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Hamiltonian system
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Poisson bracket
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symplectic manifold
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Korteweg-de Vries
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Kadomtsev-Petviashvili
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sine-Gordon
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