| Kac-Moody-Virasoro symmetry algebra of a （2＋1）-dimensional bilinear system |
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| 引用本文： | 李金花,楼森岳.Kac-Moody-Virasoro symmetry algebra of a （2＋1）-dimensional bilinear system[J].中国物理 B,2008,17(3):747-753. |
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| 作者姓名： | 李金花 楼森岳 |
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| 作者单位： | Department of Physics, Ningbo University, Ningbo 315211, China;Department of Physics, Ningbo University, Ningbo 315211, China；Department of Physics, Shanghai Jiaotong University,
Shanghai 200030, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant Nos 10475055 and
90503006) and the Science Research Fund of Zhejiang Provincial
Education Department, China (Grant No 20040969). |
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| 摘 要： | Based on some known facts of integrable models, this paper proposes a new （2＋1）-dimensional bilinear model equation. By virtue of the formal series symmetry approach, the new model is proved to be integrable because of the existence of the higher order symmetries. The Lie point symmetries of the model constitute an infinite dimensional Kac- Moody Virasoro symmetry algebra. Making use of the infinite Lie point symmetries, the possible symmetry reductions of the model are also studied
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| 关 键 词： | 普通对称 对称代数 对称归约 物理数学 |
| 收稿时间： | 2007-06-27 |
| 修稿时间： | 2007-07-20 |
Kac--Moody--Virasoro symmetry algebra of a (2+1)-dimensional bilinear system |
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| Li Jin-Hua and Lou
Sen-Yue.Kac--Moody--Virasoro symmetry algebra of a (2+1)-dimensional bilinear system[J].Chinese Physics B,2008,17(3):747-753. |
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| Authors: | Li Jin-Hua and Lou
Sen-Yue |
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| Institution: | Department of Physics, Ningbo University, Ningbo 315211, China; Department of Physics, Ningbo University, Ningbo 315211, China；Department of Physics, Shanghai Jiaotong University,
Shanghai 200030, China |
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| Abstract: | Based on some known facts of integrable models, this paper proposes
a new (2+1)-dimensional bilinear model equation. By virtue of the
formal series symmetry approach, the new model is proved to be
integrable because of the existence of the higher order symmetries.
The Lie point symmetries of the model constitute an infinite
dimensional Kac--Moody--Virasoro symmetry algebra. Making use of the
infinite Lie point symmetries, the possible symmetry reductions of
the model are also studied. |
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| Keywords: | general symmetries Kac--Moody--Virasoro symmetry algebra symmetry reduction |
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