The constrained modified KP hierarchy and the generalized Miura transformations
arXiv:solv-int/9707014 · doi:10.1088/0305-4470/30/21/004
Abstract
In this letter, we consider the second Hamiltonian structure of the constrained modified KP hierarchy. After mapping the Lax operator to a pure differential operator the second structure becomes the sum of the second and the third Gelfand-Dickey brackets defined by this differential operator. We simplify this Hamiltonian structure by factorizing the Lax operator into linear terms.
8 pages, latex, no figures