| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
We studied deformations of discrete curves from the viewpoint of integrable systems. Especially we formulated three models of such deformations; the first is discrete deformation of planar discrete curves, the second is continuous deformation of spatial discrete curves, and the last is discrete deformation of spatial discrete curves. These deformations are governed by the discrete Burgers equation, the semi-discrete modified KdV equation, and the discrete modified KdV (or discrete sine-Gordon) equation, respectively. We illustrated our deformation theory with infinitely many examples to show the integrability of our models.
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