| 一类代数系统及其应用 |
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| 引用本文： | 魏媛,张玉峰.一类代数系统及其应用[J].数学研究及应用,2008,28(1):211-216. |
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| 作者姓名： | 魏媛 张玉峰 |
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| 作者单位： | [1]Department of Mathematics and Information, Binzhou University, Shandong 256600, China; [2]School of Information Science and Engineering, Shandong University of Science and Technology, Shandong 266510, China |
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| 摘 要： | 本文利用已有的loop代数$\widetilde{A}_{1}$构造出代数系统$X$,然后建立了一个新的等谱问题得到著名的Volterra lattice可积系,最后通过构造出的$X$的扩展代数系统$\widetilde{X}$得到已有的可积系的可积耦合系统.
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| 关 键 词： | algebraic system Volterra lattice hierarchy integrable coupling system 代数系统 应用 Application System integrable coupling systems extended working Volterra lattice hierarchy problem established taking advantage algebraic known loop |
| 收稿时间： | 2005-09-15 |
| 修稿时间： | 2006-07-16 |
An Algebraic System and Its Application |
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| WEI Yuan and ZHANG Yu-feng.An Algebraic System and Its Application[J].Journal of Mathematical Research with Applications,2008,28(1):211-216. |
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| Authors: | WEI Yuan and ZHANG Yu-feng |
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| Institution: | 1. Department of Mathematics and Information,Binzhou University,Shandong 256600,China
2. School of Information Science and Engineering,Shandong University of Science and Technology,Shandong 266510,China |
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| Abstract: | An algebraic system X is constructed by using the known loop ～A1.Then a new isospectral problem is established by taking advantage of X,which is devoted to working out the well-known Volterra lattice hierarchy.And an extended algebraic system ～X of X is presented,from which the integrable coupling systems of the Volterra lattice is obtained. |
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| Keywords: | algebraic system Volterra lattice hierarchy integrable coupling system |
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