2009 Fiscal Year Final Research Report
Study on the structure of solutions of Matrix Painleve Systems
| Project/Area Number |
19540219
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Nagasaki University |
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Principal Investigator |
MURATA Yoshihiro Nagasaki University, 経済学部, 教授 (60212255)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 可積分系 / パンルベ方程式 / 岡本変換 / ヤンミルズ方程式 |
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| Research Abstract |
Investigating transformations of solutions (Backlund transformations) of Matrix Painleve Systems reduced from Anti-Self-Dual Yang-Mills Equations under symmetric conditions, we have shown that some transformations of solutions of Painlve equations (Okamoto transformations) are obtained from conformal transformations and Cauge transformations on spice-time.
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Research Products
(1 results)
