Gerald Teschl
On the Toda and Kac-van Moerbeke hierarchies
(43K, LaTeX2e)

ABSTRACT.  We provide a comprehensive treatment of the single and double commutation
method
as a tool for constructing soliton solutions of the Toda and Kac-van Moerbeke
hierarchy on arbitrary background. In addition, we present a novel
construction based on
the single commutation method. As an illustration we compute the
$N$--soliton solution
of the Toda and Kac-van Moerbeke hierarchy.