  Integrable discretisations for a class of coupled (super) nonlinear
Schrodinger (NLS) type of equations are presented. The class corresponds to a
Lax operator with entries in a Grassmann algebra. Elementary Darboux
transformations are constructed. As a result, Grassmann generalisations of the
Toda lattice and the NLS dressing chain are obtained. The compatibility
(Bianchi commutativity) of these Darboux transformations leads to integrable
Grassmann generalisations of the difference Toda and NLS equations. The
resulting systems will have discrete Lax representations provided by the set of
two consistent elementary Darboux transformations. For the two discrete systems
obtained, initial value and initialboundary problems are formulated.
