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

doi:10.1088/1674-1056/19/7/070202

Abstract 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.

Keywords: Lie superalgebra super-trace identity super-integrable system super-Hamiltonian structure

Received: 03 January 2010
Revised: 17 January 2010
Accepted manuscript online:

PACS:	02.10.Ud	(Linear algebra)
	45.05.+x	(General theory of classical mechanics of discrete systems)
	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	02.30.Ik	(Integrable systems)

Fund: Project supported by the Natural Science Foundation of Shanghai (Grant No. 09ZR1410800), the Science Foundation of the Key Laboratory of Mathematics Mechanization (Grant No. KLMM0806), the Shanghai Leading Academic Discipline Project (Grant No. J50101) and the Key Disciplines of Shanghai Municipality (S30104).

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Tao Si-Xing (陶司兴), Xia Tie-Cheng (夏铁成) The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure 2010 Chin. Phys. B 19 070202

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[1]	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) . Chin. Phys. B, 2010, 19(1): 010202.

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

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