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A new eight-dimensional Lie superalgebra and two corresponding hierarchies of evolution equations |
| Wang Xin-Zeng(王新赠)† and Dong Huan-He(董焕河) |
| College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China |
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Abstract A new eight-dimensional Lie superalgebra is constructed and two isospectral problems with six potentials are designed. Corresponding hierarchies of nonlinear evolution equations, as well as super-AKNS and super-Levi, are derived. Their super-Hamiltonian structures are established by making use of the supertrace identity, and they are integrable in the sense of Liouville.
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Received: 12 March 2009
Revised: 22 April 2009
Accepted manuscript online:
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PACS:
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02.30.Ik
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(Integrable systems)
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02.10.Ud
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(Linear algebra)
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| Fund: Project supported by the Science
Foundation of the Educational Department of Shandong Province of
China (Grant No. J07YH01). |
Cite this article:
Wang Xin-Zeng(王新赠) and Dong Huan-He(董焕河) A new eight-dimensional Lie superalgebra and two corresponding hierarchies of evolution equations 2010 Chin. Phys. B 19 010202
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