Toda equations, bi-Hamiltonian systems, and compatible Lie algebroids (Q5950001)
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scientific article; zbMATH DE number 1679392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toda equations, bi-Hamiltonian systems, and compatible Lie algebroids |
scientific article; zbMATH DE number 1679392 |
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Toda equations, bi-Hamiltonian systems, and compatible Lie algebroids (English)
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6 December 2001
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This paper deals with an analysis of the discrete version of the Boussinesq equation. The author considers the reduction of the space Map \((\mathbb{Z}_d, GL(3\mathbb{R}))\). The equations obtained by the author also display a bi-Hamiltonian structure, which, to the best of the author's knowledge, is not known in the literature. The author calls Toda the integrable dynamical system that arises naturally from this structure.
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Lie algebroids
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discrete Boussinesq equation
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bi-Hamiltonian structure
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