Abstract
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.
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