The even parity super‐Lax operator is considered for the supersymmetric KP hierarchy of the form L=D2+∑∞i=0 ui−2D−i+1 and two Hamiltonian structures are obtained following the standard method of Gel’fand and Dikii. It is observed that the first Hamiltonian structure is local and linear whereas the second Hamiltonian structure is nonlocal and nonlinear among the superfields appearing in the Lax operator. Their connections with the super‐w∞ algebra are discussed briefly.
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The first reference in Ref. 13.
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© 1995 American Institute of Physics.
1995
American Institute of Physics
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