2014 Fiscal Year Final Research Report
Construction of ultradiscrete integrable system
| Project/Area Number |
23740091
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Tokai University (2012-2014)
Waseda University (2011) |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | 離散可積分系 / 超離散系 / ソリトン / 箱玉系 |
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| Outline of Final Research Achievements |
The purpose of this research is construction of ultradiscrete integrable system. Ultradiscrete equations consist of addition, subtraction and max operation. In particular, I focused on ultradiscrete soliton system. This system is derived from discrete soliton system by a limiting procedure called ultradiscretization. In this research, I gave a new ultradiscrete equation called ultradiscrete Periodic Phase soliton equation and its discrete analogue. These equations have extended soliton solutions called ultradsicrete or discrete Periodic Phase Soliton solution respectively. An ultradiscrete soliton equation which has two different ultradiscrete soliton solutions was also given. It is expected that these solutions may be clues for construction of ultradiscrete integrable system.
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| Free Research Field |
離散可積分系
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