مشخصات پژوهش

In this paper, with Lie bialgebra of bi-symplectic type construct Integrable Hamiltonian systems for which the Poisson-Lie group G plays the role of phase space and its dual Lie group ~G plays the role of symmetry group of the system. We give the new transformation to exchange the role of phase space and symmetry group i.e. the Poisson-Lie group ~G plays the role of phase space and its dual Lie group G plays the role of symmetry group of the system. Finally, give an example and then by this transformation, exchange the role of phase space and symmetry group.