| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
I studied the relation between the tropical mathematics and the ultradiscrete integrable systems. Tropical curves are geometrical objects defined by the use of piece-wise linear functions, which are realized as metric graphs. On the other hand, ultradiscrete integrable systems are "piece-wise linear differential equations" obtained from various integrale systems through the "ultradiscretization", which is some special limiting procedure.
In this study, I constructed the method for the initial value problems of various periodic ultradiscrete integrable systems.
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