Darboux Transformation for Supersymmetric KP Hierarchies
Abstract
Description
We construct Darboux transformations for the super-symmetric KP hierarchies of Manin--Radul and Jacobian types. We also consider the binary Darboux transformation for the hierarchies. The iterations of both type of Darboux transformations are briefly discussed.
14 pages, LaTeX2e with amsmath,amssymb,amsthm and geometry packages. In this new version we consider both the Manin-Radul and the Jacobian SKP hierachies and we show how the elementary Darboux transformation composed with a reversion of signs in the fermionic times constitute a proper transformation of these hierarchies
14 pages, LaTeX2e with amsmath,amssymb,amsthm and geometry packages. In this new version we consider both the Manin-Radul and the Jacobian SKP hierachies and we show how the elementary Darboux transformation composed with a reversion of signs in the fermionic times constitute a proper transformation of these hierarchies