| 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 |
| 一类代数系统及其应用 |
| An Algebraic System and Its Application |
| 投稿时间：2005-09-15 修订日期：2006-07-16 |
| DOI：10.3770/j.issn:1000-341X.2008.01.027 |
| 中文关键词: 代数系统 Volterra lattice可积系 可积耦合系统. |
| 英文关键词:algebraic system Volterra lattice hierarchy integrable coupling system. |
| 基金项目: |
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| 摘要点击次数: 3227 |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| An algebraic system $X$ is constructed by using the known loop $\widetilde{A}_{1}$. 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 $\widetilde{X}$ of $X$ is presented, from which the integrable coupling systems of the Volterra lattice is obtained. |
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