具有广义Virasoro对称代数的(3+1)维Painlevé可积模型

寻找高维可积模型(特别是3+1维可积模型)是非线性物理中的一个非常重要的问题.建立了一种利用广义Virasoro对称性的高维实现首先找到了一些(3+1)维Virasoro可积模型,并证明(3+1)维Virasoro可积模型均具有KacMoodyVirasoro对称代数.更进一步,利用WeissTaborCarnevale的奇性分析方法,证明了其中一个Virasoro可积模型也是Painlev啨可积的. 关键词： 广义Virasoro代数 Painlevé性质 (3+1)维可积模型

VIRASORO INTEGRABLE AND PAINLEV INTEGRABLE MODELS IN (3+1)-DIMENSIONS

Seeking higher-dimensional integrable models is very important in nonlinear sci ence. In this paper, using the generalized Virasoro type algebra, many (3+1)- dimensional Virasoro models are integrable under the meaning that they possess i nfinitely many symmetries. All of the (3+1)-dimensional models are proved to have Kac-Moody-Virasoro symmetry algebra. In addition, using WTC Painlevé ana lytical approach, a (3+1)-dimensional Virasoro model is integrable under the me aning that it possesses the Painlevé property.