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

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【Author】 Tao Si-Xing a)b) and Xia Tie-Cheng a) a) Department of Mathematics,Shanghai University,Shanghai 200444,China b) Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,China

【机构】 Department of Mathematics,Shanghai University； Department of Mathematics,Shangqiu Normal University；

【摘要】 Based on the constructed Lie superalgebra,the super-classical-Boussinesq hierarchy is obtained.Then,its superHamiltonian structure is obtained by making use of super-trace identity.Furthermore,the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville.更多还原

【Abstract】 Based on the constructed Lie superalgebra,the super-classical-Boussinesq hierarchy is obtained.Then,its superHamiltonian structure is obtained by making use of super-trace identity.Furthermore,the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville.更多还原

【关键词】 Lie superalgebra； super-trace identity； super-integrable system； super-Hamiltonian structure；
【Key words】 Lie superalgebra； super-trace identity； super-integrable system； super-Hamiltonian structure；

【基金】 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);the Key Disciplines of Shanghai Municipality (S30104)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2010年07期

【分类号】O152.5
【被引频次】7
【下载频次】15

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