We consider the possibility of formation of an unconventional spin density
wave (SDW) in quasi-one dimensional electronic systems. In analogy with unc
onventional superconductivity, we develop a mean held theory of SDW allowin
g for the momentum dependent gap Delta(k) on the Fermi surface. The excitat
ion spectrum and basic thermodynamic properties of the model are found to b
e very similar to those of d-wave superconductors in spite of the different
topology of their Fermi surfaces. Among the transport properties the frequ
ency dependent conductivity in directions perpendicular to the linear chain
direction is evaluated for various gap functions, and found to reflect the
maximum gap value.