中文摘要：

寻找和构造高维可积模型是非线性可积系统的重要课题之一．在楼森岳和胡星标提出的关于Virasoro型可积理论的指导下，利用无穷维无中心的Virasoro型对称子代数和向量场的延拓结构理论，已经得到了许多高维可积方程．把该方法推广到方程组上，通过选取特殊的实现，本文构造了几类具有无穷维Virasoro对称子代数意义下的可积方程组并且所得到的方程组与一类特殊的广义（2＋1）维MKdV（ModifiedKorteweg-deVries）方程组同构．

英文摘要：

Seeking and constructing high dimensional integrable models is one of the im- portant subjects in nonlinear integrable system. Under the instruction of the theory pro- posed by Lou and Hu, applying infinitely dimensional centerless Virasoro type symmetry algebra and prolongation theory of the vector fields, many new high dimensional integrable equations have been obtained. Generalize this method to system, by means of choosing special realization, in this study, some （2＋l）-dimensional Virasoro integrable systems in the meaning of possessing infinite dimensional Virasoro type symmetry algebra are con- structed. In addition, the systems we derived are isomorphic to the special case of the （2 ~ 1）-dimensional MKdV（Modified Korteweg-de Vries） system.