3 papers
math-ph2022
Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups
H. Amirzadeh-Fard, Gh. Haghighatdoost, A. Rezaei-Aghdam
By Poissonization of Jacobi structures on real three-dimensional Lie groups and using the realizations of their Lie algebras, we obtain integrable bi-Hamiltonian syste…
math-ph2020
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems
H. Amirzadeh-Fard, Gh. Haghighatdoost, P. Kheradmandynia +1
Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and three-dimensional Lie groups. Also, we study Jacobi-Lie systems on these real…
math-ph2019
Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries
H. Amirzadeh-Fard, Gh. Haghighatdoost, A. Rezaei-Aghdam
We study Jacobi-Lie Hamiltonian systems admitting Vessiot-Guldberg Lie algebras of Hamiltonian vector fields related to Jacobi structures on real low-dimensional Jacobi-Lie groups.…