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- Nagai Atsushi
- Department of Mathematical Sciences, University of Tokyo, Komaba 3–8–1, Meguro–ku, Tokyo 153
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- Satsuma Junkichi
- Department of Mathematical Sciences, University of Tokyo, Komaba 3–8–1, Meguro–ku, Tokyo 153
書誌事項
- タイトル別名
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- Lotka Volterra Equations and the QR Alg
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説明
It is shown that a hierarchy of the Lotka-Volterra equations is generated from the QR algorithm to find eigenvalues of a given matrix. One of the equations in the hierarchy is given by dNk/dt=Nk {Nk+1(Nk+Nk+1+Nk+2) -Nk-1(Nk-2+Nk-1+Nk)}, in which one species interacts with other four species. The relation between this hierarchy and the Toda lattice hierarchy is discussed. Moreover, the structure of soliton solutions is studied by means of the bilinear formalism.
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 64 (10), 3669-3674, 1995
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
- 1390001204181482496
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- NII論文ID
- 210000098966
- 110001977531
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1995JPSJ...64.3669N
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- ISSN
- 13474073
- 00319015
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- MRID
- 1359014
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- NDL書誌ID
- 3635966
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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
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
