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

References in corpus (6)

• Supersymmetric Drinfeld-Sokolov reduction
• The sAKNS Hierarchy
• On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra
• Canonical gauge equivalences of the sAKNS and sTB hierarchies
• The constrained modified KP hierarchy and the generalized Miura transformations
• A Note on the Gauge Equivalence between the Manin-Radul and Laberge-Mathieu Super KdV Hierarchies

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