Hamiltonian structures of generalized Manin-Radul super-KdV and constrained super KP hierarchies

A study of Hamiltonian structures associated with supersymmetric Lax operat ors is presented. Following a constructive approach, the Hamiltonian struct ures of Inami-Kanno super-KdV hierarchy and constrained modified super-KP h ierarchy are investigated from the reduced supersymmetric Gelfand-Dickey br ackets. By applying a gauge transformation on the Hamiltonian structures as sociated with these two nonstandard super-Lax hierarchies, we obtain the Ha miltonian structures of generalized Manin-Radul super-KdV and constrained s uper-KP hierarchies. We also work out a few examples and compare them with the known results. (C) 1999 American Institute of Physics. [S0022-2488(99)0 2206-9].