Construction of ultradiscrete integrable system
| Project/Area Number |
23740091
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Tokai University (2012-2014)
Waseda University (2011) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011-04-28 – 2015-03-31
|
| Project Status |
Completed (Fiscal Year 2014)
|
| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
|---|
| Keywords | 離散可積分系 / 超離散系 / ソリトン / 箱玉系 / 超離散 / 可積分系 / ソリトン系 |
|---|
| 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.
|
Report
(5 results)
Research Products
(12 results)
