Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
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Publication date
2018
Authors
Kac, V.G.
van de Leur, J.
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Article
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taverne
Abstract
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.
Keywords
KP and MKP hierarchies, tau-functions, wave functions, formal pseudo-differential operators, Schur polynomials, Taverne
Citation
Kac, V G & van de Leur, J W 2018, 'Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions', Japanese Journal of Mathematics, vol. 13, no. 2, pp. 235-271. https://doi.org/10.1007/s11537-018-1803-1