The Supercomplexifications And Odd Bihamiltonians Structures

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Proceeding of the International Seminar "Supersymmetry and Quantum Symmetries (July 1999 Dubna Rosia)

Scientific paper

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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