期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 49, 期 29, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/49/29/295201
关键词
BKP hierarchy; integrable hierarchies; Schur's Q-function
资金
- Japanese Association of University Woman JAUW
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 Schur functions. It is known that, under the condition tau(x) not equal 0, a formal power series tau(x) is a solution of the KP hierarchy if and only if its coefficients of Schur function expansion are given by the so called Giambelli type formula. A similar result is known for the BKP hierarchy with respect to Schur's Q-function expansion under a similar condition. In this paper we generalize this result to the case of tau(0) = 0.
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