| 一族具有三Hamilton结构的发展方程及其对称 |
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| 引用本文： | 马文秀.一族具有三Hamilton结构的发展方程及其对称[J].上海交通大学学报,1989,23(1):9-18. |
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| 作者姓名： | 马文秀 |
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| 作者单位： | 上海交通大学应用数学系 |
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| 基金项目： | 上海交通大学青年科研基金A1190资助课题 |
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| 摘 要： | 本文构造了三个可逆Hamilton 算子,它们两两组成一个Hamilton 对,由此生成了一族三Hamilton 结构的具有对合守恒密度族的可积系,并得到了这族发展方程的对称族.
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| 关 键 词： | Hamilton结构 积分方程 对称 |
A Hierarchy of Evolution Equations with Three-Hamiltonian Structures and Its Symmetries |
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| Ma Wenxiu.A Hierarchy of Evolution Equations with Three-Hamiltonian Structures and Its Symmetries[J].Journal of Shanghai Jiaotong University,1989,23(1):9-18. |
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| Authors: | Ma Wenxiu |
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| Abstract: | This paper introduces three Hamiltonian operators,which form a Ha-miltonian pair with one another,and herefrom a hierarchy integrable systemswith three Hamiltonian structures and conserved quantities in evolution isfound.A series of symmetries of this hierarchy evolution equation has alsobeen obtained. |
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| Keywords: | Hamiltonian operator hereditary symmetry symmetry Poisson bracket Hamiltonian system |
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