| Manakov方程和导数Manakov方程的有限参数解 |
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| 引用本文： | 曹建莉. Manakov方程和导数Manakov方程的有限参数解[J]. 数学季刊, 2007, 22(2): 236-244 |
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| 作者姓名： | 曹建莉 |
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| 作者单位： | Department of |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | Finite-dimensional integrable Hamiltonian systems, obtained through the non- linearization of the 3×3 spectral problems associated with the Manakov and the derivative Manakov equations, are investigated. A generating function method is used to give a simple and effective way to prove the involutivity of integrals. Finite-parameter solutions of the Manakov and the derivative Manakov equations are calculated based on the commutative systems of ordinary differential equations with these integrals as Hamiltonians.
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| 关 键 词： | Manakov方程 导数Manakov方程 有限参数解 非线性薛定厄方程 |
| 文章编号： | 1002-0462（2007）02-0236-09 |
| 收稿时间： | 2006-10-11 |
| 修稿时间： | 2006-10-11 |
Finite Parameter Solutions to the Manakov and the Derivative Manakov Equations |
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| CAO Jian-li. Finite Parameter Solutions to the Manakov and the Derivative Manakov Equations[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 236-244 |
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| Authors: | CAO Jian-li |
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| Abstract: | |
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| Keywords: | the Manakov equation the derivative Manakov equation the involutivity of conserved integrals |
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