| 规范变换与有限维可积系统间的变换 |
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| 引用本文： | 曾云波. 规范变换与有限维可积系统间的变换[J]. 高校应用数学学报(A辑), 1993, 0(4): 339-350 |
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| 作者姓名： | 曾云波 |
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| 作者单位： | 合肥市中国科技大学数学系 230026 |
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| 摘 要： | 本文表明，利用两个特征值问题的规范变换，不仅可以建立和它们相联系的势的约束之间以及相应的有限维Ｈａｍｉｌｔｏｎ系统间的变换关系式，而且可以由一个可积系统的对合守恒积分导出另一个系统的守恒积分
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| 关 键 词： | 规范变换 可积系统 发展方程 |
THE GAUGE TRANSFORMATION AND THE TRANSFORMATION BETWEEN FINITE-DIMENSIONAL INTEGRABLE SYSTEMS |
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| Zeng Yunbo. THE GAUGE TRANSFORMATION AND THE TRANSFORMATION BETWEEN FINITE-DIMENSIONAL INTEGRABLE SYSTEMS[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 0(4): 339-350 |
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| Authors: | Zeng Yunbo |
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| Affiliation: | Department of Mathematics. University of Science and Technology of China |
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| Abstract: | By using gauge transformation between two spectral problems, the relation connecting constraints of potentials and the transformation between two finite-dimensional Hamiltonian systems can be established, the integrals of motion for one integrable system can be derived from integrals for another system and shown to be in involution. For examples, two new finite-dimensional integrable Hamiltonian systems associated with modified second-order polynomial spectral problems are presented. |
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| Keywords: | Gauge Fransformation. Integrable System. |
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