Two super-integrable hierarchies and their super-Hamiltonian structures |
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| Institution: | 1. Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, PR China;2. Department of Mathematics, Shanghai University, Shanghai 200444, PR China;1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany;2. W. I. Fine Theoretical Physics Institute and School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA;1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, China;2. Mathematics Department, Northern Illinois University, USA |
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| Abstract: | Two Lie super algebras are constructed from which we establish two super-isospectral problems. Under the frame of the zero curvature equations, the super-GJ hierarchy and the super-Yang hierarchy are presented respectively. Meanwhile, their super-Hamiltonian structures are obtained by using super-trace identity. |
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