  We study the effects of spin-orbit coupling on the Mott-superfluid transition
of bosons in a one-dimensional optical lattice. We determine the strong
coupling magnetic phase diagram by a combination of exact analytic and
numerical means. Smooth evolution of the magnetic structure into the superfluid
phases are investigated with the density matrix renormalization group
technique. Novel magnetic phases are uncovered and phase transitions between
them within the superfluid regime are discussed. Possible experimental
detection are discussed.
