Poisson pencils, algebraic integrability, and separation of variables
نویسندگان
چکیده
منابع مشابه
Algebraic Nijenhuis operators and Kronecker Poisson pencils
This paper is devoted to a method of constructing completely integrable systems based on the micro-local theory of bihamiltonian structures [GZ89, GZ91, Bol91, GZ93, GZ00, Pan00, Zak01]. The main tool are the so-called microKronecker bihamiltonian structures [Zak01], which will be called Kronecker in this paper for short (in [GZ00] the term Kronecker was used for the micro-Kronecker structures ...
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Article history: Received 28 December 2012 Available online 14 June 2013 Communicated by T.S. Ratiu MSC: 37K10 53D17 53A60 A Poisson pencil is called flat if all brackets of the pencil can be simultaneously locally brought to a constant form. Given a Poisson pencil on a 3-manifold, we study under which conditions it is flat. Since the works of Gelfand and Zakharevich, it is known that a pencil ...
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ژورنال
عنوان ژورنال: Regular and Chaotic Dynamics
سال: 2011
ISSN: 1560-3547,1468-4845
DOI: 10.1134/s156035471103004x