A New Super Extension of Dirac Hierarchy

Jiao Zhang; Fucai You; Yan Zhao

doi:10.1155/2014/472101

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Home > Journals > Abstr. Appl. Anal. > Volume 2014 > Article

2014 A New Super Extension of Dirac Hierarchy

Jiao Zhang, Fucai You, Yan Zhao

Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/472101

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Abstract

We derive a new super extension of the Dirac hierarchy associated with a $3{\times}3$ matrix super spectral problem with the help of the zero-curvature equation. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarchy.