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Volumn 37, Issue 9, 1996, Pages 4484-4513

R-matrix theory, formal Casimirs and the periodic Toda lattice

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EID: 0030502877     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531639     Document Type: Article
Times cited : (19)

References (39)
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    • Here, and in the rest of the paper, we say that some property ℬ(σ), depending on an integer σ, holds for σ≫0 if there is κ∈ℤ such that ℬ(σ) is satisfied for each σ≥κ similarly, ℬ(σ) holds for σ≪0 if it is true for each σ below some κ. Other statements of a similar kind will appear in the sequel; for example, we will say that some property ℬ(α,β), depending on two integers, holds for β-α≫0 or for |β-α|≫0, with an obvious meaning.
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    • note
    • The symplectic leaves are, by definition, the integral submanifolds of the distribution Im Q; as it is well known, a Poisson tensor can be properly restricted to anyone of its symplectic leaves, and the restriction is kernel free (see Ref. 20).
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    • k are not zero for k≥;n + 2 (even though they are not functionally independent of the first n integrals and vector fields).
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    • note
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    • note
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.