A Simple Way of Making a Hamiltonian System Into a Bi-Hamiltonian One
نویسندگان
چکیده
منابع مشابه
A simple way of making a Hamiltonian system into a bi-Hamiltonian one
Given a Poisson structure (or, equivalently, a Hamiltonian operator) P , we show that its Lie derivative Lτ (P ) along a vector field τ defines another Poisson structure, which is automatically compatible with P , if and only if [L τ (P ), P ] = 0, where [·, ·] is the Schouten bracket. This result yields a new local description for the set of all Poisson structures compatible with a given Poiss...
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2004
ISSN: 0167-8019
DOI: 10.1023/b:acap.0000035597.06308.8a