Supersymmetric KdV equation: Darboux transformation and discrete systems
Exactly Solvable and Integrable Systems
2013-12-02 v1 Mathematical Physics
math.MP
Abstract
For the supersymmetric KdV equation, a proper Darboux transformation is presented. This Darboux transformation leads to the B\"{a}cklund transformation found early by Liu and Xie \cite{liu2}. The Darboux transformation and the related B\"{a}cklund 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.
Keywords
Cite
@article{arxiv.1311.0152,
title = {Supersymmetric KdV equation: Darboux transformation and discrete systems},
author = {Ling-Ling Xue and D. Levi and Q. P. Liu},
journal= {arXiv preprint arXiv:1311.0152},
year = {2013}
}
Comments
13pages, submitted to Journal of Physics A