  The relation of the noncommutative self-dual Chern-Simons (NCSDCS) system to
the noncommutative generalizations of Toda and of affine Toda field theories is
investigated more deeply. This paper continues the programme initiated in $JHEP
{\bf 10} (2005) 071$, where it was presented how it is possible to define Toda
field theories through second order differential equation systems starting from
the NCSDCS system. Here we show that using the connection of the NCSDCS to the
noncommutative chiral model, exact solutions of the Toda field theories can be
also constructed by means of the noncommutative extension of the uniton method
proposed in $JHEP {\bf 0408} (2004) 054$ by Ki-Myeong Lee. Particularly some
specific solutions of the nc Liouville model are explicit constructed.
