| 二次型等式及其多分量可积族的Hamilton结构 |
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| 引用本文： | 李玉青,张宁.二次型等式及其多分量可积族的Hamilton结构[J].山东科技大学学报(自然科学版),2008,27(6). |
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| 作者姓名： | 李玉青 张宁 |
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| 作者单位： | 山东科技大学,理学院,山东,青岛,266510 |
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| 摘 要： | 构造了一个新的Lie代数G,通过选取恰当的基元阶数得到相应的一个loop代数M,其换位运算非常简便,由此设计一个等谱问题,利用屠格式得到一个新的Liouville可积的多分量Hamilton方程族,并利用二次型等式获得方程族的Hamiltonian结构.此种方法可以广泛使用,获得其他方程族的Hamiltonian结构.
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| 关 键 词： | 多分量方程族 二次型等式 Hamilton结构 |
The Quadric Form Identity and Hamilton Structure of Multi-component Hierarchy |
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| LI Yu-qing,ZHANG Ning.The Quadric Form Identity and Hamilton Structure of Multi-component Hierarchy[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2008,27(6). |
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| Authors: | LI Yu-qing ZHANG Ning |
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| Institution: | LI Yu-qing,ZHANG Ning(College of Science,SUST,Qingdao,Sh,ong 266510,China) |
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| Abstract: | In this paper,a new Lie algebra G is constructed and a corresponding loop algebra G~M is obtained by choosing the proper order of the basic elements and its commutation operation defined is very concise.It follows that an isospectral problem is established and a new Liouville integrable multi-component Hamiltonian hierarchy is obtained by making use of Tu pattern.Also,Hamiltonian structures of the multi-component hierarchy are presented by the quadratic form identity.This method can be generally used and th... |
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| Keywords: | multi-component hierarchy quadric form identity Hamilton structure |
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