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arxiv: 1801.02845 · v2 · pith:BXIJKJ7Wnew · submitted 2018-01-09 · 🧮 math-ph · hep-th· math.MP· math.RT· nlin.SI

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

Victor Kac , Johan van de Leur This is my paper
classification 🧮 math-ph hep-thmath.MPmath.RTnlin.SI
keywords hierarchymodifiedformulationshierarchiespolynomialtau-functionsastonishinglybyproduct
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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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  1. Quantum torus symmetries of multicomponent modified KP hierarchy and reductions

    nlin.SI 2019-07 unverdicted novelty 5.0

    Constructs multicomponent modified KP hierarchy with quantum torus additional symmetries and obtains its constrained reduction with Virasoro symmetries.