Supersymmetric KdV equation: Darboux transformation and discrete systems
arXiv:1311.0152 · doi:10.1088/1751-8113/46/50/502001
Abstract
For the supersymmetric KdV equation, a proper Darboux transformation is presented. This Darboux transformation leads to the Bäcklund transformation found early by Liu and Xie \cite{liu2}. The Darboux transformation and the related Bäcklund transformation are used to construct integrable super differential-difference and difference-difference systems. The continuum limits of these discrete systems and of their Lax pairs are also considered.
13pages, submitted to Journal of Physics A