2012 Fiscal Year Final Research Report
Construction of special solutions to Painleve systems and the quest for infinite-dimensional integrable systems
| Project/Area Number |
21740126
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Aoyama Gakuin University |
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Principal Investigator |
MASUDA Tetsu 青山学院大学, 理工学部, 准教授 (00335457)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 可積分系 |
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| Research Abstract |
We constructed several special solutions to the discrete Painleve systems. We determined the tau-functions of the solutions completely, and gave a natural description for some properties of the functions that appear as the solutions from the viewpoint of the affine Weyl group symmetry. We also constructed an explicit formula for the discrete power function in terms of the hypergeometric type solutions to the sixth Painlve equation. Moreover, we tried to construct a discrete analogue and special solutions of the higer-order Painleve systems to pave the way for discovering new infinite dimensional integrable systems
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Research Products
(27 results)
