A Representation of Solutions for the KP Hierarchy and Its Algebraic Structure
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- Miyake Shigeki
- NTT Transmission Systems Laboratories
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- Ohta Yasuhiro
- Department of Applied Mathematics, Faculty of Engineering, Hiroshima University
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- Satsuma Junkichi
- Department of Applied Physics, Faculty of Engineering, University of Tokyo
書誌事項
- タイトル別名
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- Representation of Solutions for the KP
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抄録
The determinant representation of solutions for the KP equation proposed by Nakamura is generalized for all equations of the KP hierarchy. It is shown that the algebraic structure of this determinant is parallel to that of the Wronskian. The structure of the KP hierarchy in the bilinear form is clearly seen through this representation of solutions. The relation between the determinant and the solution of the Gel’fand-Levitan-Marchenko equation is also discussed.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 59 (1), 48-55, 1990
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204177281792
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- NII論文ID
- 110001960596
- 130003900404
- 210000095696
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1990JPSJ...59...48M
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- ISSN
- 13474073
- 00319015
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- MRID
- 1047186
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- NDL書誌ID
- 3648946
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- CiNii Articles
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- 使用不可