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arXiv · 1801.02845

Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

Victor Kac·Johan van de Leur
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Abstract

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.

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Victor Kac, Johan van de Leur. 2018-05-09. Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. https://arxiv.org/abs/1801.02845

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