| Budget Amount *help |
¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
To extend the exact WKB analysis to systems of partial differential equations including nonlinear equations and difference equations, we study several integrable systems and hypergeometric systems from the viewpoint of the exact WKB analysis. Consequently we obtain deeper understanding for coalescing phenomena of turning points for nonlinear equations and, furthermore, the following new results are also obtained: discovery of the appearance of non-hereditary double turning points associated with the restriction of holonomic systems, determination of the explicit form of connection formulas for Stokes phenomena of discrete Painleve equations, and a new idea about the analytic interpretation of instanton-type formal solutions of Painleve equations in terms of elliptic functions.
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