2013 Fiscal Year Final Research Report
Special solutions and linear monodromy for Painleve equation and Garnier system
Project/Area Number |
22540237
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
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Research Institution | Yokkaichi University |
Principal Investigator |
KANEKO Kazuo 四日市大学, 付置研究所, 研究員 (50571486)
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Co-Investigator(Renkei-kenkyūsha) |
OHYAMA Yousuke 大阪大学, 大学院情報科学研究科, 准教授 (10221839)
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Project Period (FY) |
2010-04-01 – 2014-03-31
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Keywords | 2次元ガルニエ系 / パンルヴェ型方程式 / 有理型解の分類 / 退化系 / モノドロミ / 対称解 / ベックルント変換 |
Research Abstract |
We talked the research results on the transcendental special solutions to the two dimensional degenerate Garnier system and four dimensional Painleve type equations at Math.Society of Japan (Mar.2010, Sept.2010, Mar.2011, Sept.2011, Mar.2012, Sept.2012, Sep. 2013.) (b) Papers published/submitted. (1) K. Kaneko, Local expansion of Painleve VI transcendents around a fixed singularity, J.Math.Phys. 50 (2009) 013531-1-24. (2) K.Kaneko, Symmetric solutions for the two dimensional degenerate Garnier system G(5), Proc.Japan Acad.Ser.A,Math.Sci., 87 (2011), 114-118. (3) K.Kaneko and Y.Ohyama, Meromorphic Painleve transcendents at a fixed singularity, Math. Nachr. 286 (2013), 861-875. (4) Symmetric solutions to the four dimensional degenerate Painleve type equation NYA4, J.Nonl.Math.Phys. 21.No. 3 (Sept.2014), 357-370. (5) K.Kaneko, Special solutions and linear monodromy for the two dimensional degenerate Garnier system G(1112), submitted to SIGMA.
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Research Products
(12 results)