The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
Vernadsky National Library of Ukraine
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Title |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
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Creator |
Chiba, H.
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Description |
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory.
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Date |
2019-02-14T18:32:39Z
2019-02-14T18:32:39Z 2016 |
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Type |
Article
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Identifier |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34M35; 34M45; 34M55 DOI:10.3842/SIGMA.2016.019 http://dspace.nbuv.gov.ua/handle/123456789/147432 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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