On the expansion coefficients of KP tau function

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 article, we find a generalization...

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Bibliographic Details
Published in:Journal of Integrable Systems 2017-01, Vol.2 (1)
Main Authors: Nakayashiki, Atsushi, Okada, Soichi, Shigyo, Yoko
Format: Article
Language:English
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Summary: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 article, 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. Communicated by: Masatoshi Noumi
ISSN:2058-5985
2058-5985
DOI:10.1093/integr/xyx007