Bosonic string - Kaluza Klein theory exact solutions using 5D-6D dualities

We present the explicit formulae which allow to transform the general solution of the 6D Kaluza–Klein theory on a 3–torus into the special solution of the 6D bosonic string theory on a 3–torus as well as into the general solution of the 5D bosonic string theory on a 2–torus. We construct a new family of the extremal solutions of the 3D chiral equation for the SL(4,R)/SO(4) coset matrix and interpret it in terms of the component fields of these three duality related theories.