论文标题
广义的Giambelli公式和多项式KP和CKP Tau功能
The generalized Giambelli formula and polynomial KP and CKP tau-functions
论文作者
论文摘要
本文的第一部分专门介绍了KP层次结构的所有多项式tau功能的两个描述:通过广义的Jacobi-trudy公式和广义的Giambelli公式。我们在第二部分中使用后一个公式来获得CKP层次结构的所有多项式tau函数及其n-还原。特别是,对于n = 3,我们找到了kaup-kupershmidt层次结构的所有多项式tau功能。
The first part of the paper is devoted to two descriptions of all polynomial tau-functions of the KP hierarchy: by a generalized Jacobi-Trudy formula, and a generalized Giambelli formula. We use the latter formula in the second part to obtain all polynomial tau-functions of the CKP hierarchy and its n-reductions. In particular, for n=3 we find all polynomial tau-functions of the Kaup-Kupershmidt hierarchy.