On the expansion coefficients of KP tau function
On the expansion coefficients of KP tau function
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关于KP tau函数的展开系数
DOI：
10.1093/integr/xyx007
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Yoko Shigyo
中科院分区：
文献类型：
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作者：
Atsushi Nakayashiki;Soichi Okada;Yoko Shigyo
我们研究了KP族的τ函数的展开系数。如果tau函数在原点不为零，则已知系数由Giambelli公式给出，并且它表征KP族的解。本文将Giambelli公式推广到τ函数在原点为零的情形。它再次刻画了KP层次结构的解的特征。
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