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Supersymmetric Extensions of the Harry Dym Hierarchy

J. C. Brunelli·Ashok Das·Ziemowit Popowicz
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Abstract

We study the supersymmetric extensions of the Harry Dym hierarchy of equations. We obtain the susy-B extension, the doubly susy-B extension as well as the N=1 and the N=2 supersymmetric extensions for this system. The N=2 supersymmetric extension is particularly interesting, since it leads to new classical integrable systems in the bosonic limit. We prove the integrability of these systems through the bi-Hamiltonian formulation of integrable models and through the Lax description. We also discuss the supersymmetric extension of the Hunter-Zheng equation which belongs to the Harry Dym hierarchy of equations.

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J. C. Brunelli, Ashok Das, Ziemowit Popowicz. 2003-04-24. Supersymmetric Extensions of the Harry Dym Hierarchy. https://doi.org/10.1063/1.1606527

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