| 约束的NLS系统的刚体型Poisson结构 |
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| 引用本文： | DU Dian-lou,MA Yuri-ling (Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China,Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,China). 约束的NLS系统的刚体型Poisson结构[J]. 数学季刊, 2005, 20(3): 232-237 |
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| 作者姓名： | DU Dian-lou MA Yuri-ling (Department of Mathematics Zhengzhou University Zhengzhou 450052 China Department of Mathematics Shangqiu Normal University Shangqiu 476000 China) |
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| 作者单位： | Department of Mathematics，Zhengzhou University，Zhengzhou 450052，China;Department of Mathematics，Shangqiu Normal University，Shangqiu 476000，China |
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| 基金项目： | Foundation item: Supported by the National Natural Science Foundation of China(10471132)Supported by the Youth Teacher Foundation and Natural Science Foundation of Henan Education Department(2004110006) |
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| 摘 要： | ![]()
A constrained system associated with a 3×3 matrix spectral problem of the nonlinear Schrodinger(NLS) hierarchy is proposed. It is shown that the constrained system is a Hamiltonian system with the rigid body type Poisson structure on the Poisson manifold R3N. Further, the reduction of the constrained system extended to the common level set of the complex cones is proved to be the constrained AKNS system on C2N.
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| 关 键 词： | NLS系统 Poisson结构 刚体 约束性 |
The Rigid Body Type Poisson Structure for the Constrained NLS System |
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| DU Dian-lou MA Yun-ling. The Rigid Body Type Poisson Structure for the Constrained NLS System[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(3): 232-237 |
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| Authors: | DU Dian-lou MA Yun-ling |
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| Affiliation: | [1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China [2]Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China |
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| Abstract: | ![]()
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| Keywords: | constrained system Poisson structure reduction |
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