  In this research we obtain the classical r-matrices of real two and three
dimensional Jacobi-Lie bialgebras. In this way, we classify all non-isomorphic
real two and three dimensional coboundary Jacobi-Lie bialgebras and their types
(triangular and quasitriangular). Also, we obtain the generalized Sklyanin
bracket formula by use of which, we calculate the Jacobi structures on the
related Jacobi-Lie groups. Finally, we present a new method for constructing
classical integrable systems using coboundary Jacobi-Lie bialgebras.
