  We first construct a $(2+1)$-dimensional negative AKNS hierarchy and then we
give all possible local and (discrete) nonlocal reductions of these equations.
We find Hirota bilinear forms of the negative AKNS hierarchy and give one- and
two-soliton solutions. By using the soliton solutions of the negative AKNS
hierarchy we find one-soliton solutions of the local and nonlocal reduced
equations.
