| 超对称Bullough－Dodd模型的prolongation分析 |
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| 引用本文： | 王美旭,杨占营,闫长春.超对称Bullough－Dodd模型的prolongation分析[J].徐州师范大学学报(自然科学版),2001,19(3):29-32. |
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| 作者姓名： | 王美旭 杨占营 闫长春 |
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| 作者单位： | 1. 徐州师范大学物理系,
2. 西北大学现代物理研究所, |
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| 摘 要： | 在扭曲仿射代数A2^(2)上建立了超对称的Bullough-Dodd模型。Prolongation方法的研究表明，该模型承认一个Lax pair，从Lax意义上证明该模型可积。另外，当该超对称模型的所有费米量为零时，该系统就定义了一个新奇的由单标量玻色场指数相互作用构成的可积模型。这个发现还打破了长久以来的一种认识；只有sinh-Gordon和标准Bullough-Dodd模型是Liouville模型。
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| 关 键 词： | 超对称 prolongation分析 Bullough－Dedd模型 扭曲仿射李代数A2^（2）孤立子散射 可积场理论 完全可积系统 量子光学 |
| 文章编号： | 1007-6573(2001)03-0029-04 |
| 修稿时间： | 2001年3月5日 |
On the Supersymmetrization of Bullough-Dodd Model:a Prolongation Analysis |
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| WANG Mei-xu ,YANG Zhan-ying ,YAN Chang-chun.On the Supersymmetrization of Bullough-Dodd Model:a Prolongation Analysis[J].Journal of Xuzhou Normal University(Natural Science Edition),2001,19(3):29-32. |
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| Authors: | WANG Mei-xu YANG Zhan-ying YAN Chang-chun |
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| Institution: | WANG Mei-xu 1,YANG Zhan-ying 2,YAN Chang-chun 1 |
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| Abstract: | We superise the Bullough-Dodd model which is the one based on the twisted affine Lie algebra A (2) 2. The prolongation study shows that the superised model admits a Lax pair representation. It is also pointed out that the special solution manifold of the superised equation at which all fermions are equal to zero defines a novel integrable equation consisted of a single bosonic field with exponential interaction. This breaks a long-term view, which says that sinh-Gordon model and standard Bullough-Dodd model are the only two Liouville ones. |
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| Keywords: | integrable supersymmetrization prolongation analysis |
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