Some compatible Poisson structures and integrable bi-Hamiltonian systems on four dimensional and nilpotent six dimensional symplectic real Lie groups
نویسندگان
چکیده
We provide an alternative method for obtaining of compatible Poisson structures on Lie groups by means the adjoint representations algebras. In this way, we calculate some four dimensional and nilpotent six symplectic real groups. Then using Magri-Morosi's theorem obtain new bi-Hamiltonian systems with as phase spaces.
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2017.1306944