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The Constrained MKP Hierarchy and the Generalized Kupershmidt-Wilson Theorem

Q. P. Liu
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Abstract

The constrained Modified KP hierarchy is considered from the viewpoint of modification. It is shown that its second Poisson bracket, which has a rather complicated form, is associated to a vastly simpler bracket via Miura-type map. The similar results are established for a natural reduction of MKP.

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Q. P. Liu. 1997-07-24. The Constrained MKP Hierarchy and the Generalized Kupershmidt-Wilson Theorem. https://arxiv.org/abs/solv-int/9707012

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