On the Expansion Coefficients of KP Tau Function
Exactly Solvable and Integrable Systems
2017-04-13 v1 Mathematical Physics
Combinatorics
math.MP
Quantum Algebra
Abstract
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 Giambelli formula and that it characterizes solutions of the KP hierarchy. In this paper, we find a generalization of Giambelli formula to the case when the tau function vanishes at the origin. Again it characterizes solutions of the KP hierarchy.
Keywords
Cite
@article{arxiv.1704.03659,
title = {On the Expansion Coefficients of KP Tau Function},
author = {Atsushi Nakayashiki and Soichi Okada and Yoko Shigyo},
journal= {arXiv preprint arXiv:1704.03659},
year = {2017}
}
Comments
21 pages