Toward the exact WKB analysis for higher-order Painlevé equations -- the case of Noumi-Yamada systems (Q1769588)
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scientific article; zbMATH DE number 2151100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toward the exact WKB analysis for higher-order Painlevé equations -- the case of Noumi-Yamada systems |
scientific article; zbMATH DE number 2151100 |
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Toward the exact WKB analysis for higher-order Painlevé equations -- the case of Noumi-Yamada systems (English)
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4 April 2005
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The paper is devoted to the study of the exact WKB analysis for higher-order Painlevé equations, which is based on the Stokes geometry of the Noumi-Yamada system. As a main result it is shown that there exist intriguing relations, similar to those for traditional Painlevé equations, between the Stokes geometry of the Noumi-Yamada-system and that of its underlying Lax pair.
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exact WKB analysis
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Painlevé equations
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Stokes geometry
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Noumi-Yamada system
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