Constructs multicomponent modified KP hierarchy with quantum torus additional symmetries and obtains its constrained reduction with Virasoro symmetries.
Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
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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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nlin.SI 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Quantum torus symmetries of multicomponent modified KP hierarchy and reductions
Constructs multicomponent modified KP hierarchy with quantum torus additional symmetries and obtains its constrained reduction with Virasoro symmetries.