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.
Received: 27 June 2007
Revised: 20 July 2007
Accepted manuscript online:
PACS:
02.10.Ud
(Linear algebra)
Fund: 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).
Cite this article:
Li Jin-Hua(李金花) and Lou Sen-Yue(楼森岳) Kac--Moody--Virasoro symmetry algebra of a (2+1)-dimensional bilinear system 2008 Chin. Phys. B 17 747
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