  The general method of the cojmplex supersymmetrization
(supercomplexifications) of the soliton equations with the odd (bi)
hamiltoninan structure is established. New version of the supercomplexified
Kadomtsev-Petvishvili hierarchy is given. The second odd Hamiltonina operator
of the SUSY KdV equation generates the odd N=2 SUSY Virasoro like algebra.
