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Block (or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld-Sokolov Hierarchy
作者姓名:李传忠  贺劲松  苏育才
作者单位:[1]Department of Mathematics, Ningbo University, Ningbo 315211, China [2]Department of Mathematics, Tongji University, Shanghai 200092, China
基金项目:Supported by the National Natural Science Foundation of China under Grant No. 11201251, Zhejiang Provincial Natural Science Foundation under Grant No. LY12A01007 and the Natural Science Foundation of Ningbo under Grant No. 2013A610105, the National Natural Science Foundation of China under Grant No. 11271210, and K.C. Wong Magna Fund in Ningbo University, and the National Science Foundation of China under Grant No. 11371278, and the Shanghai Municipal Science and Technology Commission under Grant No. 12XD1405000 and the Fundamental Research Funds for the Central Universities of China
摘    要:
In this paper, the dispersionless D-type Drinfeld-Sokolov hierarchy, i.e. a reduction of the dispersionless two-component BKP hierarchy, is studied. The additional symmetry flows of this hierarchy are presented. These flows form an infinite-dimensional Lie algebra of Block type as well as a Lie algebra of Hamiltonian type.

关 键 词:Lie对称性  哈密顿型  D型  散射  索科  层次结构  李代数  无色散
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