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• W2004022448 abstract "Given a Poisson structure (or, equivalently, a Hamiltonian operator) P, we show that its Lie derivative L τ(P) along a vector field τ defines another Poisson structure, which is automatically compatible with P, if and only if [L τ 2(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 Poisson structure P of locally constant rank such that dim ker P≤1 and leads to a remarkably simple construction of bi-Hamiltonian dynamical systems. A new description for pairs of compatible local Hamiltonian operators of Dubrovin–Novikov type is also presented." @default.
• W2004022448 created "2016-06-24" @default.
• W2004022448 creator A5025969645 @default.
• W2004022448 date "2004-08-01" @default.
• W2004022448 modified "2023-09-26" @default.
• W2004022448 title "A Simple Way of Making a Hamiltonian System Into a Bi-Hamiltonian One" @default.
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• W2004022448 doi "https://doi.org/10.1023/b:acap.0000035597.06308.8a" @default.
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