论文标题
KP，BKP和S组件KP层次结构的多项式tau功能
Polynomial Tau-functions of the KP, BKP, and the s-Component KP Hierarchies
论文作者
论文摘要
我们表明，S组分KP和BKP层次结构的任何多项式tau功能都可以解释为适当组合生成函数的零模式。作为一种应用，我们分别从schur多项式和q-schur多项式方面获得了这些层次结构的所有多项式tau函数的明确公式。我们还获得了与S部分分区相关的S组分KP层次结构的多项式TAU函数的公式。
We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero mode of an appropriate combinatorial generating function. As an application, we obtain explicit formulas for all polynomial tau-functions of these hierarchies in terms of Schur polynomials and Q-Schur polynomials respectively. We also obtain formulas for polynomial tau-functions of the reductions of the s-component KP hierarchy associated to partitions in s parts.
