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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70202-070202.doi: 10.1088/1674-1056/19/7/070202

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

陶司兴, 夏铁成

Department of Mathematics, Shanghai University, Shanghai 200444, China

收稿日期:2010-01-03 修回日期:2010-01-17 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
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).

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

Tao Si-Xing (陶司兴)^ab, Xia Tie-Cheng (夏铁成)^a

^aDepartment of Mathematics, Shanghai University, Shanghai 200444, China; ^b Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China

Received:2010-01-03 Revised:2010-01-17 Online:2010-07-15 Published:2010-07-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: Lie superalgebra, super-trace identity, super-integrable system, super-Hamiltonian structure

中图分类号: (Linear algebra)

02.10.Ud

45.05.+x (General theory of classical mechanics of discrete systems) 45.20.Jj (Lagrangian and Hamiltonian mechanics) 02.30.Ik (Integrable systems)

陶司兴, 夏铁成. The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure[J]. 中国物理B, 2010, 19(7): 70202-070202.

Tao Si-Xing (陶司兴), Xia Tie-Cheng (夏铁成). The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure[J]. Chin. Phys. B, 2010, 19(7): 70202-070202.

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

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

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