The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure

The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure
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DOI:
10.1088/1674-1056/19/7/070202
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发表时间:
2010-07
期刊:
影响因子:
1.7
通讯作者:
Tao Si-xing;Xia Tie-cheng
Tao Si-xing;Xia Tie-cheng
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Tao Si-xing;Xia Tie-cheng

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基于所构造的李超代数,得到了超经典-Boussinesq族.然后利用超迹恒等式得到了它的超哈密顿结构。此外,超经典-Boussinesq族在Liouville意义下也是可积的。
Based on the constructed Lie superalgebra, the super-classical-Boussinesq hierarchy is obtained. Then, its super-Hamiltonian structure is obtained by making use of super-trace identity. Furthermore, the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville.