Symmetries and Algebras of a （2＋1）-Dimensional MKdV-Type System

In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus th...

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Bibliographic Details
Published inCommunications in theoretical physics no. 6; pp. 999 - 1004
Main Author 王建勇 俞军 楼森岳
Format Journal Article
LanguageEnglish
Published 2010
Subjects
KdV型
V型系统
完全可积性
广义对称性
无穷维
李代数
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ISSN0253-6102

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Summary:In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.
Bibliography:formal series symmetry approach, w∞ symmetry algebra
TP271
11-2592/O3
O152.5
ISSN:0253-6102