Extension of universal character and new soliton equations
| Project/Area Number |
19340031
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kobe University |
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Principal Investigator |
OHTA Yasuhiro Kobe University, 大学院・理学研究科, 准教授 (10213745)
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| Co-Investigator(Kenkyū-buntansha) |
NOUMI Masatoshi 神戸大学, 自然科学系先端融合研究環, 教授 (80164672)
YAMADA Yasuhiko 神戸大学, 大学院・理学研究科, 教授 (00202383)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥13,650,000 (Direct Cost: ¥10,500,000、Indirect Cost: ¥3,150,000)
Fiscal Year 2010: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2008: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2007: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Keywords | 普遍指標 / ソリトン / 可積分系 / 双線形形式 / Camassa-Holm方程式 / 非線形Schrodinger方程式 / 離散KdV方程式 / 戸田格子 / KP理論 / Hankel行列式 / Painleve方程式 |
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| Research Abstract |
By generalizing the universal charaters, applying reduction and using the direct method of soliton theory, various new soliton equation and their solution are constructed. Some application to mathematical physics physics are also investigated.
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Report
(6 results)
Research Products
(42 results)
