Algebraic integrability of the Toda lattice \({\mathfrak d}^{(2)}_3\) (Q1046550)
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scientific article; zbMATH DE number 5651247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic integrability of the Toda lattice \({\mathfrak d}^{(2)}_3\) |
scientific article; zbMATH DE number 5651247 |
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Algebraic integrability of the Toda lattice \({\mathfrak d}^{(2)}_3\) (English)
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22 December 2009
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This paper studies the algebraic integrability of the Toda lattice associated with the affine Lie algebra \(\mathfrak{d}_{3}^{(2)}\). This is a polynomial dynamical system in a hyperplane of dimension 5 in \({\mathbb C}^{6}\) admitting 3 integrals of polynomial form. Using the Painlev'e divisors it is shown that this system is an algebraically integrable system. Furthermore a morphism between this system and the Mumford system is established.
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algebraic integrabiliy
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Toda lattice
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