期刊
JAPANESE JOURNAL OF MATHEMATICS
卷 13, 期 2, 页码 235-271出版社
SPRINGER
DOI: 10.1007/s11537-018-1803-1
关键词
KP and MKP hierarchies; tau-functions; wave functions; formal pseudo-differential operators; Schur polynomials
类别
We show that a system of Hirota bilinear equations introduced by Jimbo and Miwa defines tau-functions of the modified KP (MKP) hierarchy of evolution equations introduced by Dickey. Some other equivalent definitions of the MKP hierarchy are established. All polynomial tau-functions of the KP and the MKP hierarchies are found. Similar results are obtained for the reduced KP and MKP hierarchies.
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