Quantum torus symmetries of multicomponent modified KP hierarchy and reductions

Abstract

In this paper, we construct the multicomponent modified KP hierarchy and its additional symmetries. The additional symmetries constitute an interesting multi-folds quantum torus type Lie algebra. By a reduction, we also construct the constrained multicomponent modified KP hierarchy and its Virasoro type additional symmetries.

arXiv comment11 Pages. arXiv admin note: text overlap with arXiv:1510.08955

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