| Integrable Couplings of Classical-Boussinesq Hierarchy and Its Hamiltonian Structure＊ |
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| 基金项目： | Supported by the Natural Science Foundation of Shanghai under Grant No. 09ZR1410800, the Science Foundation of Key Laboratory of Mathematics Mechanization under Grant No. KLMM0806, the Shanghai Leading Academic Discipline Project under Grant No. J50101, and by Key Disciplines of Shanghai Municipality （S30104） |
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| 摘 要： | By using a Lie algebra, an integrable couplings of the classicai-Boussinesq hierarchy is obtained. Then, the Hamiltonian structure of the integrable couplings of the classical-Boussinesq is obtained by the quadratic-form identity.
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| 关 键 词： | Hamilton结构 耦合 古典 哈密顿结构 李代数 |
| 收稿时间： | 2008-11-17 |
Integrable Couplings of Classical-Boussinesq Hierarchy and Its Hamiltonian Structure |
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| XIA,Tie-Cheng. Integrable Couplings of Classical-Boussinesq Hierarchy and Its Hamiltonian Structure[J]. Communications in Theoretical Physics, 2010, 53(1): 25-27 |
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| Authors: | XIA Tie-Cheng |
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| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, ChinaKey Laboratory of Mathematics Mechanization, Chinese Academy of Sciences,;Beijing 100875, China |
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| Abstract: | By using a Lie algebra, an integrable couplings of the classical-Boussinesq hierarchy is obtained. Then, the Hamiltonian structure of the integrable couplings of the classical-Boussinesq is obtained by the quadratic-form identity. |
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| Keywords: | loop algebra integrable couplings Hamiltonian structure |
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