Integrable operators and canonical differential systems
نویسندگان
چکیده
منابع مشابه
Integrable Systems and their Recursion Operators
In this paper we discuss the structure of recursion operators. We show that recursion operators of evolution equations have a nonlocal part that is determined by symmetries and cosymmetries. This enables us to compute recursion operators more systematically. Under certain conditions (which hold for all examples known to us) Nijenhuis operators are well defined, i.e., they give rise to hierarchi...
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Starting with any R-matrix with spectral parameter, obeying the YangBaxter equation and a unitarity condition, we construct the corresponding infinite dimensional quantum group UR in term of a deformed oscillators algebra AR. The realization we present is an infinite series, very similar to a vertex operator. Then, considering the integrable hierarchy naturally associated to AR, we show that UR...
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Let ẋ = f(x) be a C autonomous differential system with k ∈ N ∪ {∞, ω} defined in an open subset Ω of R. Assume that the system ẋ = f(x) is C completely integrable, i.e. there exist n−1 functionally independent first integrals of class C with 2 ≤ r ≤ k. If the divergence of system ẋ = f(x) is non–identically zero, then any Jacobian multiplier is functionally independent of the n − 1 first integ...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2007
ISSN: 0025-584X,1522-2616
DOI: 10.1002/mana.200410475