All Poisson Structures in $R^3$

Details All Poisson Structures in $R^3$ All Poisson Structures in $R^3$

2003-04-29

arxiv.org/abs/nlin/0304057v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

A reference is corrected

Scientific paper

Hamiltonian formulation of N=3 systems is considered in general. The most
general solution of the Jacobi equation in ${\mathbb R}^3$ is proposed.
Compatible Poisson structures and the corresponding bi-Hamiltonian N=3 systems
are also discussed.

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