Supersymmetric extensions of the Harry Dym hierarchy
Supersymmetric extensions of the Harry Dym hierarchy
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DOI：
10.1063/1.1606527
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发表时间：
2003-04
影响因子：
1.3
通讯作者：
J. C. Brunelli;A. Das;Z. Popowicz
中科院分区：
文献类型：
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作者：
J. C. Brunelli;A. Das;Z. Popowicz
我们研究 Harry Dym 方程层次的超对称扩展。我们获得了该系统的susy-B扩展、双susy-B扩展以及N=1和N=2超对称扩展。 N=2 超对称扩展特别有趣，因为它导致了玻色子极限下的新经典可积系统。我们通过可积模型的双哈密顿公式和 Lax 描述证明了这些系统的可积性。我们还讨论了属于 Harry Dym 方程层次的 Hunter-Zheng 方程的超对称扩展。
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.