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

Abstract

A study of Hamiltonian structures associated with supersymmetric Lax operators is presented. Following a constructive approach, the Hamiltonian structures of Inami-Kanno super-KdV hierarchy and constrained modified super-KP hierarchy are investigated from the reduced supersymmetric Gelfand-Dickey brackets. By applying a gauge transformation on the Hamiltonian structures associated with these two nonstandard super-Lax hierarchies, we obtain the Hamiltonian structures of generalized Manin-Radul super-KdV and constrained super-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)02206-9].