Hamiltonian structures of generalized Manin–Radul super-KdV and constrained super KP hierarchies
Hamiltonian structures of generalized Manin–Radul super-KdV and constrained super KP hierarchies
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DOI：
10.1063/1.532741
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发表时间：
1998-12
影响因子：
1.3
通讯作者：
M. Tu;J. Shaw
中科院分区：
文献类型：
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作者：
M. Tu;J. Shaw
提出了与超对称 Lax 算子相关的哈密顿结构的研究。采用建设性方法，从简化的超对称 Gelfand-Dickey 括号中研究了 Inami-Kanno super-KdV 层次结构和约束修改的 super-KP 层次结构的哈密顿结构。通过对与这两个非标准超Lax层次结构相关的哈密顿结构应用规范变换，我们获得了广义Manin-Radul超KdV和约束超KP层次结构的哈密顿结构。我们还举了一些例子，并将它们与已知的结果进行比较。
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.