| The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system |
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| 作者姓名： | 夏铁成 汪宏 张玉峰 |
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| 作者单位： | Department of Mathematics, Tianjin University, Tianjin 300072, China; Department of Mathematics, Bohai University, Jinzhou 121000, China;Department of Physics, Tianjin University, Tianjin 300072, China;Department of Mathematics, Liaoning Normal University, Dalian 116022, China |
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| 基金项目： | Projet supported by the National Natural Science Foundation of China (Grant No 10371070), the Special Funds for Major Specialities of Shanghai Educational Committee and Natural Science Foundation of Educational Committee of Liaoning Province. |
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| 摘 要： | A new simple loop algebra GM is constructed, which is devoted to the establishing of an isospectral problem. By making use of the Tu scheme, the multi-component Tu hierarchy is obtained.Furthermore, an expanding loop algebra FM of the loop algebra GM is presented. Based on the FM, the multi-component integrable coupling system of the multi-component Tu hierarchy has been worked out. The method can be applied to other nonlinear evolution equation hierarchies.
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| 关 键 词： | 环代数 Tu分层 积分耦合系统 同位光谱 孤波方程 |
| 收稿时间： | 2003-10-08 |
The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system |
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| Xia Tie-Cheng,Wang Hong and Zhang Yu-Feng.The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system[J].Chinese Physics B,2005,14(2):247-250. |
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| Authors: | Xia Tie-Cheng Wang Hong and Zhang Yu-Feng |
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| Institution: | Department of Mathematics, Liaoning Normal University, Dalian 116022, China; Department of Mathematics, Tianjin University, Tianjin 300072, China; Department of Mathematics, Bohai University, Jinzhou 121000, China; Department of Physics, Tianjin University, Tianjin 300072, China |
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| Abstract: | A new simple loop algebra \widetilde{G}M is constructed, which is devoted to the establishing of an isospectral problem. By making use of the Tu scheme, the multi-component Tu hierarchy is obtained. Furthermore, an expanding loop algebra \widetilde{F}M of the loop algebra \widetilde{G}M is presented. Based on the \widetilde{F}M, the multi-component integrable coupling system of the multi-component Tu hierarchy has been worked out. The method can be applied to other nonlinear evolution equation hierarchies. |
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| Keywords: | loop algebra Tu hierarchy integrable couplings system |
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