Yuriy Berkela (Carpathian Biosphere Reserve, Rakhiv, Ukraine)

Binary transformations of D-Hermitian operators

Abstract:
A simple method of D-unital transformations construction is demonstrated on the basis of the Darboux general binary transformations. This allows proving the general Darboux theorems for the DHk-cmKP hierarchy using analogous results for the k-cKP hierarchy.