  In this note we present explicitly the construction of the mKdV hierarchy and
show that it decomposes into positive and negative graded sub-hierarchies. We
extend the construction of the Backlund transformation for the sinh-Gordon
model to all other positive and negative odd graded equations of motion
generated by the same affine algebraic structure. Some simple examples of
solutions are explicitly verified to satisfy, in a universal manner, the
Backlund transformations for the first few odd (positive and negative)
sub-hierarchies.
