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. Thes...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.11201251the National Natural Science Foundation of China under Grant No.11271210+5 种基金Zhejiang Provincial Natural Science Foundation under Grant No.LY12A01007the Natural Science Foundation of Ningbo under Grant No.2013A610105K.C.Wong Magna Fund in Ningbo Universitythe National Science Foundation of China under Grant No.11371278the Shanghai Municipal Science and Technology Commission under Grant No.12XD1405000the Fundamental Research Funds for the Central Universities of China
文摘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.
