  The N=1 supersymmetric modified Korteweg-de Vries (SmKdV) system is
transformed to a system of coupled bosonic equations with the bosonization
approach. The bosonized SmKdV (BSmKdV) passes the Painlev\'{e} test and allows
a set of B\"{a}cklund transformation (BT) by truncating the series expansions
of the solutions about the singularity manifold. The traveling wave solutions
of the BSmKdV system are obtained using the mapping and deformation method.
Some special types of exact solutions for the BSmKdV system are found with the
solutions and symmetries of the usual mKdV equation. In the meanwhile, the
similarity reduction solutions of the system are investigated by using the Lie
point symmetry theory. The generalized tanh function expansion method for the
BSmKdV system leads to a nonauto-BT theorem. Using the nonauto-BT theorem, the
novel exact explicit solutions of the BSmKdV system can be obtained. All these
solutions obtained via the bosonization procedure are different from those
obtained via other methods.
