  The integrable structure of the two dimensional superconformal field theory
is considered. The classical counterpart of our constructions is based on the
$\hat{osp}(1|2)$ super-KdV hierarchy. The quantum version of the monodromy
matrix associated with the linear problem for the corresponding L-operator is
introduced. Using the explicit form of the irreducible representations of
$\hat{osp}_q(1|2)$, the so-called "fusion relations" for the transfer matrices
considered in different representations of $\hat{osp}_q(1|2)$ are obtained. The
possible integrable perturbations of the model (primary operators, commuting
with integrals of motion) are classified and the relation with the
supersymmetric $\hat{osp}(1|2)$ Toda field theory is discussed.
