63 citations · 575 across the 64 of their papers we have counts for
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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…
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…
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.…
Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie groups
Ghorbanali Haghighatdoost, Zohreh Ravanpak, Adel Rezaei-Aghdam
We study {\em right-invariant (resp., left-invariant) Poisson quasi-Nijenhuis structures} on a Lie group and introduce their infinitesimal counterpart, the so-called {\em r-qn…
Exchanging role of the phase space and symmetry group of integrable Hamiltonian systems related to Lie bialgebras of bi-symplectic types
J. Abedi-Fardad, A. Rezaei-Aghdam, Gh. Haghighatdoost
We construct integrable Hamiltonian systems with Lie bialgebras of the bi-symplectic type for which the Poisson-Lie groups play the role of…
Invariant Poisson-Nijenhuis structures on Lie groups and classification
Zohreh Ravanpak, Adel Rezaei-Aghdam, Ghorbanali Haghighatdoost
We study right-invariant (resp., left-invariant) Poisson-Nijenhuis structures on a Lie group and introduce their infinitesimal counterpart, the so-called r-n structures on the…