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Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions (1801.02845v2)
Published 9 Jan 2018 in math-ph, hep-th, math.MP, math.RT, and nlin.SI
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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