Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
2018
Online
report
We give 4 formulations of the Modified KP hierarchy and show that they are equivalent. We also discuss the reductions of the MKP hierarchy to the modified $n$-KdV hierarchies. As a byproduct, we find an astonishingly simple explicit description of all polynomial tau-functions of the KP, the MKP and the $n$-KdV hierarchies, and (implicitly) also for the modified $n$-KdV hierarchy.
Comment: introduction slightly expanded, minor changes, typos corrected
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Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
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Autor/in / Beteiligte Person: | Kac, Victor ; van de Leur, Johan |
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Veröffentlichung: | 2018 |
Medientyp: | report |
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