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Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies

Ming-Hsien Tu·Jiin-Chang Shaw
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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.

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BibTeXRIS

Ming-Hsien Tu, Jiin-Chang Shaw. 1998-12-16. Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies. https://doi.org/10.1063/1.532741

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