Polynomial Tau Functions of Symplectic KP and Multi-component Symplectic KP Hierarchies

被引：0
作者：
Fang Huang
Chuanzhong Li
机构：
[1] Henan University,School of Mathematics and Statistics
[2] Shandong University of Science and Technology,College of Mathematics and Systems Science
来源：
Annals of Combinatorics | 2022年 / 26卷
关键词：
Symplectic Schur functions; Polynomial tau-functions; Symplectic KP hierarchy; Multi-component SKP hierarchy; 37K05; 37K10; 37K20; 17B65; 17B67;
D O I：
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学科分类号：
摘要：
In this paper, we prove that a zero mode of an appropriate combinatorial generating function is a polynomial tau-function of a form of symplectic KP (SKP) hierarchy and extend it to the multi-component SKP hierarchy. Moreover, we write the polynomial tau-function of SKP hierarchy as determinant form in terms of the Vandermonde-like identity.
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页码：593 / 611
页数：18
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