Math. Z. 231, 325-344 (1999) [DOI: 10.1007/PL00004732]
On the Toda and Kac-van Moerbeke Hierarchies
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.