论文标题
Bihamiltonian可整合层次结构的超级tau覆盖
Super tau-covers of bihamiltonian integrable hierarchies
论文作者
论文摘要
我们认为，Bihamiltonian可集成的层次结构的某种超级扩展名为“超级tau覆盖”，该层次结构包含汉密尔顿结构，包括局部和非本地的结构作为奇数流。特别是，我们构建了与任意Frobenius歧管相关的主要层次结构的超级tau覆盖，以及Korteweg-de Vries（KDV）层次结构的超级tau覆盖。我们还表明，这些Bihamiltonan综合层次结构的Virasoro对称性可以扩展到相关的超级tau覆盖的对称性。
We consider a certain super extension, called the super tau-cover, of a bihamiltonian integrable hierarchy which contains the Hamiltonian structures including both the local and non-local ones as odd flows. In particular, we construct the super tau-cover of the principal hierarchy associated with an arbitrary Frobenius manifold, and the super tau-cover of the Korteweg-de Vries (KdV) hierarchy. We also show that the Virasoro symmetries of these bihamiltonan integrable hierarchies can be extended to symmetries of the associated super tau-covers.
