Title Bi-Hamiltonian structures on some four-dimensional Lie groups Type of Research Presentation Keywords Integrable systems, Bi-Hamiltonian structure, Poisson bracket Abstract In this paper, we discuss bi-Hamiltonian structures for integrable and superintegrable Hamiltonian system on some four-dimensional Lie groups. Researchers Saleh Abdolhadi Zangakani (First Researcher)، Jafar Abedi Fardad (Second Researcher)، Ghorbanali Haghighatdoost Bonab (Third Researcher)