| Kaup-Kupershmidt 方程和 Ziber-Shabat-Mikhailov 方程的无穷多守恒律之间的联系(英文) |
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| 引用本文： | 周焕强,刘玉斌,韦联福. Kaup-Kupershmidt 方程和 Ziber-Shabat-Mikhailov 方程的无穷多守恒律之间的联系(英文)[J]. 四川师范大学学报(自然科学版), 1990, 0(3) |
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| 作者姓名： | 周焕强 刘玉斌 韦联福 |
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| 作者单位： | 四川师范大学固体所，四川师范大学物理系，四川师范大学物理系 |
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| 摘 要： | 本文给出了 Ziber-Shabat-Mikhoilov 方程和 Kaup-Kupershmidt 方程的无穷多守恒量之间的一个简单的关系.我们发现,这个结果是与这样一个事实相关的:与这二个方程相应的二组守恒量可以改写成具有零 Poisson 括号的 Virasoro 生成元的多项式函数的同一组无穷集.
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| 关 键 词： | Ziber-Shabat-Mikhailov 方程 守恒量 Kaup-Kupershmidt 方程 Poisson 括号 Virasoro 生成元 |
SIMPLE CONNECTION BETWEEN INFINITE CONSERVATION LAWS IN THE KAUP-KUPERSHMIDT AND THE ZIBER-SHABAT-MIKHAILOV EQUATIONS |
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| Zhou Huanqiang. SIMPLE CONNECTION BETWEEN INFINITE CONSERVATION LAWS IN THE KAUP-KUPERSHMIDT AND THE ZIBER-SHABAT-MIKHAILOV EQUATIONS[J]. Journal of Sichuan Normal University(Natural Science), 1990, 0(3) |
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| Authors: | Zhou Huanqiang |
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| Affiliation: | Zhou Huanqiang (Institute of Solid State Physics)Liu Yubin Wei Lianfu (Department of physics) |
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| Abstract: | A simple connection is presented between an infinite set of conserved quantities in both the Ziber-Shabat-Mikhailov and the Kaup-Kupershmidt equations.This resuit is found to be related with the fact that both setsin the Ziber-Shabat-Mikhailov and the Kaup-Kupershmidt equations may be reexpressed in terms of the sameinfinite set of polynomial functions of the Virasoro generators with vanishing Poisson brackets. |
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| Keywords: | Ziber-Shabat-Mithailov equation Conserved quantity Kaup-Kapershmidt equation Poisson brackets Virasoro generators. |
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