Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups

Abstract

By Poissonization of Jacobi structures on real three-dimensional Lie groups $\mathbf{G}$ and using the realizations of their Lie algebras, we obtain integrable bi-Hamiltonian systems on $\mathbf{G}\otimes \mathbb{R}$.

arXiv comment18 pages

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