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.

16 pages, Revtex, no figures

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Cited by in corpus (3)

• Binary nonlinearization of the super AKNS system
• Binary Nonlinearization of the Super Akns System Under an Implicit Symmetry Constraint
• A Novel Symmetry Constraint Of The Super cKdV System