Higher order Painlevé systems of type A, Drinfeld-Sokolov hierarchies and Fuchsian systems (Q2917690)
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scientific article; zbMATH DE number 6088939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher order Painlevé systems of type A, Drinfeld-Sokolov hierarchies and Fuchsian systems |
scientific article; zbMATH DE number 6088939 |
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1 October 2012
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higher-order Painlevé systems
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integrable hierarchies
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Drinfeld-Sokolov hierarchies
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Fuchsian systems
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\(q\)-Painlevé equations and systems
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0.94368756
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0.93573403
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0.91802907
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0.90549624
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0.8918115
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0.8893746
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Higher order Painlevé systems of type A, Drinfeld-Sokolov hierarchies and Fuchsian systems (English)
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The article deals with the higher-order \(q\)-Painlevé system \(q\)-\(P_{n,n}\), which is a generalization of \(q\cdot P_{VI}\). It has an affine Weyl-group symmetry of type \(A_{2n-1}^{(1)}\). The aim of this paper is to investigate the Lax forms of \(q\)-\(P_{n,n}\). Connections to \(q\)-Fuchsian systems and to infinite dimensional integrable hierarchies are also presented.
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