Miura and auto-Backlund transformations for the cKP and cmKP hierarchies

Abstract

We construct the Miura and auto-Backlund transformations for the cKP and cmKP hierarchies. Both the eigenfunctions and the adjoint eigenfunctions of the hierarchies are used to trigger the transformations. The canonical properties of the constructed Miura and auto-Backlund transformations are also investigated. (C) 1997 American Institute of Physics.