  We discuss exact multi-soliton solutions to integrable hierarchies on
noncommutative space-times in diverse dimension. The solutions are represented
by quasi-determinants in compact forms. We study soliton scattering processes
in the asymptotic region where the configurations could be real-valued. We find
that the asymptotic configurations in the soliton scatterings can be all the
same as commutative ones, that is, the configuration of N-soliton solution has
N isolated localized lump of energy and each solitary wave-packet lump
preserves its shape and velocity in the scattering process. The phase shifts
are also the same as commutative ones. As new results, we present multi-soliton
solutions to noncommutative anti-self-dual Yang-Mills hierarchy and discuss
2-soliton scattering in detail.
