By Poissonization of Jacobi structures on real three-dimensional Lie groups G and using the realizations of their Lie algebras, we obtain integrable bi-Hamiltonian systems on G⊗R.
@article{arxiv.2203.06377,
title = {Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups},
author = {H. Amirzadeh-Fard and Gh. Haghighatdoost and A. Rezaei-Aghdam},
journal= {arXiv preprint arXiv:2203.06377},
year = {2024}
}