  We consider 5-dimensional Einstein-dilaton gravity with antisymmetric forms.
Assuming staticity and a restriction on the dilaton coupling parameters, we
derive 4-dimensional sigma-model with a target space $SL(2,R)/SO(1,1)\times
SL(2,R)/SO(1,1)$. On this basis, using the symmetries of the target space, we
develop a solution generating technique and employ it to construct new
asymptotically flat and non-flat dyonic black rings solutions. The solutions
are analyzed and the basic physical quantities are calculated.
