3 papers
nlin.SI2017
On the Expansion Coefficients of KP Tau Function
Atsushi Nakayashiki, Soichi Okada, Yoko Shigyo
We study the expansion coefficients of the tau function of the KP hierarchy. If the tau function does not vanish at the origin, it is known that the coefficients are given by Giamb…
nlin.SI2016
On the Expansion Coefficients of Tau-function of the BKP Hierarchy
Yoko Shigyo
We study the series expansion of the tau function of the BKP hierarchy applying the addition formulae of the BKP hierarchy. Any formal power series can be expanded in terms of Schu…
math-ph2015
Giambelli type formulae in the BKP hierarchy
Yoko Shigyo
In this paper, we study Giambelli type formula in the KP and the BKP hierarchies. Any formal power series can be expanded by the Schur functions. It is known that wit…