| 一类高维李代数及其应用 |
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| 引用本文： | 魏媛,李刚.一类高维李代数及其应用[J].信阳师范学院学报(自然科学版),2011,24(1):30-34,114. |
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| 作者姓名： | 魏媛 李刚 |
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| 作者单位： | 1. 滨州学院,数学与信息科学系,山东,滨州,256600
2. 信阳师范学院,科研处,河南,信阳,464000 |
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| 基金项目： | 国家自然科学基金，滨州学院青年人才创新工程科研项目 |
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| 摘 要： | 构造一类高维的李代数H和其相应的loop代数HS,其换位运算非常简单,并利用loop代数HS得到两个可积方程族可积耦合的耦合,所得可积方程族可化简为一些形式新颖的方程.
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| 关 键 词： | loop代数 可积耦合 零曲率方程 |
A Higher-dimensional Lie Algebra and its Applications |
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| WEI Yuan,LI Gang.A Higher-dimensional Lie Algebra and its Applications[J].Journal of Xinyang Teachers College(Natural Science Edition),2011,24(1):30-34,114. |
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| Authors: | WEI Yuan LI Gang |
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| Institution: | WEI Yuan1,LI Gang2(1.Department of Mathematics and Information Science,Binzhou University,Binzhou 256600,China,2.Scientific Research Office,Xinyang Normal University,Xinyang 464000,China) |
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| Abstract: | A higher-dimensional Lie algebra H and its corresponding loop algebras HS were introduced.By taking advantage of Hs,two types of coupling integrable couplings of hierarchy were obtained.The coupling integrable couplings of two hierarchies produced in the paper can reduce the coupling integrable couplings of some interesting equations. |
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| Keywords: | loop algebra integrable couplings zero curvature equation |
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