  We construct the Generalized Monodromy matrix $\mathcal{\hat{M}}(\omega)$ of
two dimensional string effective action by introducing the T-duality group
properties.The integrability conditions with general solutions depending on
spectral parameter are given. This construction is investigated for the exactly
solvable Wess, Zumino, Novikov and Witten (WZNW) model in pp-wave Limit when
B=0.
