| 一个高维圈代数和演化方程族的可积耦合系统 |
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| 引用本文： | 夏铁成,于发军,陈登远.一个高维圈代数和演化方程族的可积耦合系统[J].上海大学学报(英文版),2005,9(3):201-205. |
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| 作者姓名： | 夏铁成 于发军 陈登远 |
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| 作者单位： | [1]DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200444,P.R.China.／／DepartmentofMathematics,BohaiUniversity,Jinzhou121000,P.R.China [2]DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200444,P.R.China. |
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| 基金项目： | theNationalNaturalScienceFoundationofChina(GrantNo.10371070)andtheNaturalScienceFoundationofEducationalCommitteeofLiaoningProvince(GrantNo.2004C057) |
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| 摘 要： | An extension of the Lie algebra An-1 has been proposed Phys. Lett. A, 2003, 310 : 19-24 ]. In this paper, the new Lie algebra was used to construct a new higher dimensional loop algebra G^～. Based on the loop algebra G^～, the integrable couplings system of the NLS-MKdV equations hierarchy was obtained. As its reduction case, generalized nonlinear NLS-MKdV equations were obtained. The method proposed in this letter can be applied to other hierarchies of evolution equations.
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| 关 键 词： | Lie代数 可积分连接系统 环代数 方程层次 |
| 收稿时间： | 10 December 2003 |
A higher dimensional loop algebra and integrable couplings system of evolution equations hierarchy |
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| Xia?Tie-cheng,Yu?Fa-jun,Chen?Deng-yuan.A higher dimensional loop algebra and integrable couplings system of evolution equations hierarchy[J].Journal of Shanghai University(English Edition),2005,9(3):201-205. |
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| Authors: | Xia Tie-cheng Yu Fa-jun Chen Deng-yuan |
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| Institution: | 1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R . China;Department of Mathematics, Bohai University, Jinzhou 121000, P.R. China
2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R . China |
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| Abstract: | An extension of the lie algebra A
n−1 has been proposed Phys. Lett. A, 2003, 310:19–24]. In this paper, the new lie algebra was used to construct a new higher dimensional loop algebra
. Based on the loop algebra
, the integrable couplings system of the NLS-MKdV equations hierarchy was obtained. As its reduction case, generalized nonlinear
NLS-MKdV equations were obtained. The method proposed in this letter can be applied to other hierarchies of evolution equations.
Project supported by the National Natural Science Foundation of China (Grant No. 10371070) and the Natural Science Foundation
of Educational Committee of Liaoning Province (Grant No. 2004C057) |
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| Keywords: | Lie algebra integrable couplings system loop algebra NLS-MKdV equations hierarchy |
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