Fully Supersymmetric Hierarchies From A Energy Dependent Super Hill Operator

Abstract

A super Hill operator with energy dependent potentials is proposed and the associated integrable hierarchy is constructed explicitly. It is shown that in the general case, the resulted hierarchy is multi-Hamiltonian system. The Miura type transformations and modified hierarchies are also presented.

15 pages, AMS-LaTex

References in corpus (2)

• The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy
• New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies