  Assuming that there exist at least two fermionic parameters, the classical N=
1 supersymmetric Korteweg-de Vries (SKdV) system can be transformed to some
coupled bosonic systems. The boson fields in the bosonized SKdV (BSKdV) systems
are defined on even Grassmann algebra. Due to the intrusion of other Grassmann
parameters, the BSKdV systems are different from the usual non-supersymmetric
integrable systems, and many more abundant solution structures can be
unearthed. With the help of the singularity analysis, the Painlev\'e property
of the BSKdV system is proved and a B\"acklund transformation (BT) is found.
The BT related nonlocal symmetry, we call it as residual symmetry, is used to
find symmetry reduction solutions of the BSKdV system. Hinted from the symmetry
reduction solutions, a more generalized but much simpler method is established
to find exact solutions of the BSKdV and then the SKdV systems, which actually
can be applied to any fermionic systems.
