The Constrained MKP Hierarchy and the Generalized Kupershmidt-Wilson Theorem
Q. P. Liu
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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