| 一个2 1维可积族及其可积耦合 |
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| 引用本文： | 宋岱才.一个2 1维可积族及其可积耦合[J].科学技术与工程,2011,11(35):8674-8678,8692. |
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| 作者姓名： | 宋岱才 |
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| 作者单位： | 辽宁石油化工大学理学院,抚顺,113001 |
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| 摘 要： | 利用广义屠格式从一个2+1维等谱问题建立了一个新的2+1维可积方程族。通过约化可以得到广义BPT族。进一步通过扩大的等谱问题获得了一个广义BPT族的可积耦合。提出的方法可以利用到其他方程族中。
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| 关 键 词： | 圈代数 2+1维BPT族 可积耦合 |
| 收稿时间： | 10/9/2011 2:21:15 PM |
| 修稿时间： | 2011/10/21 0:00:00 |
A (2 1) -dimensional integrable hierarchy and its integrable couplings |
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| Song Dai Cai.A (2 1) -dimensional integrable hierarchy and its integrable couplings[J].Science Technology and Engineering,2011,11(35):8674-8678,8692. |
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| Authors: | Song Dai Cai |
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| Institution: | (School of Science,Liaoning Shihua University,Fushun 113001,P.R.China) |
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| Abstract: | In this paper, by making use of the generalized Tu scheme, we consider a (2 1)-dimensional isospectral problem, and then a new (2 1)-dimensional integrable hierarchy is constructed. It is shown that the generalized BPT hierarchy can be obtained as a
reduction. Further, based on an extending isospectral problem, an integrable couplings of the (2 1)-dimensional integrable hierarchy of the generalized BPT hierarchy is produced. The method in this paper can be applied to obtain other (2 1)-dimensional integrable hierarchy. |
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| Keywords: | loop algebra (2 1)-dimensional BPT hierarchy integrable couplings |
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