| 耦合的AKNS-Kaup-Newell孤子方程族的一类可积扩展模型 |
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| 引用本文： | 杨洪祥,徐西祥. 耦合的AKNS-Kaup-Newell孤子方程族的一类可积扩展模型[J]. 中国物理, 2005, 14(5): 869-874 |
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| 作者姓名： | 杨洪祥 徐西祥 |
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| 作者单位： | Department of Computer Science and Technology, Taishan College, Shandong Taian, 271021;College of Science, Shandong University of Science and Technology, Qingdao Shandong, 266510 |
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| 摘 要： | 基于Lie圈代数?1的子代数建立了一个等谱问题，导出了耦合的AKNS- Kaup- Newell孤子方程族。另外，利用扩展相应Lie代数于?2的方法，建立了该方程族的可积扩展模型，即可积耦合。
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| 关 键 词： | 耦合的 AKNS-Kaup-Newell 孤子方程族；Lie 圈代数；可积耦合 |
| 收稿时间： | 2004-01-09 |
A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy |
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| Yang Hong-Xiang and Xu Xi-Xiang. A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy[J]. Chinese Physics, 2005, 14(5): 869-874 |
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| Authors: | Yang Hong-Xiang and Xu Xi-Xiang |
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| Affiliation: | College of Science, Shandong University of Science and Technology, Qingdao Shandong, 266510; Department of Computer Science and Technology, Taishan College, Shandong Taian, 271021 |
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| Abstract: | An isospectral problem is established by means of a sub-algebra of Loop Lie algebra ?1, from which the coupled AKNS-Kaup-Newell soliton hierarchy is derived. Subsequently, the integrable expending model i.e. integrable coupling is constructed through enlarging the corresponding Loop algebra into ?2. |
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| Keywords: | Coupled AKNS-Kaup-Newell soliton hierarchy Loop Lie algebra Integrable coupling |
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