中国物理B ›› 2008, Vol. 17 ›› Issue (3): 747-753.doi: 10.1088/1674-1056/17/3/002

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Kac--Moody--Virasoro symmetry algebra of a (2+1)-dimensional bilinear system

李金花1, 楼森岳2   

  1. (1)Department of Physics, Ningbo University, Ningbo 315211, China; (2)Department of Physics, Ningbo University, Ningbo 315211, China；Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:2007-06-27 修回日期:2007-07-20 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    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).

Kac--Moody--Virasoro symmetry algebra of a (2+1)-dimensional bilinear system

Li Jin-Hua(李金花)a)† and Lou Sen-Yue(楼森岳)a)b)   

  1. a Department of Physics, Ningbo University, Ningbo 315211, China; b Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2007-06-27 Revised:2007-07-20 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    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.

关键词: general symmetries, Kac--Moody--Virasoro symmetry algebra, symmetry reduction

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.

Key words: general symmetries, Kac--Moody--Virasoro symmetry algebra, symmetry reduction

中图分类号:  (Linear algebra)

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