Non-Canonical Symmetries, Bi-Hamiltonian Structures, and Complete Integrability
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- Lutzky M.
- Department of Physics & Astronomy, Clemson University
書誌事項
- タイトル別名
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- Non Canonical Symmetries,Bi Hamiltonian
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It is shown that a non-canonical symmetry of a finite-dimensional Hamiltonian system leads to a bi-Hamiltonian structure for the system. If the recursion operator has a vanishing Nijenhuis tensor and minimal degeneracy, it generates a sequence of conserved quantities in involution. The recursion operator is also the Lax matrix of an isospectral representation, and its eigenvalues are conserved quantities in involution. If these conserved quantities are functionally independent, the system is completely integrable.
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 54 (1), 64-68, 1985
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
- 1390282679160408704
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- NII論文ID
- 210000092541
- 110001967029
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1985JPSJ...54...64L
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- ISSN
- 13474073
- 00319015
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- MRID
- 784926
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- NDL書誌ID
- 3015275
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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