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arXiv · 1311.0152

Supersymmetric KdV equation: Darboux transformation and discrete systems

Ling-Ling Xue·D. Levi·Q. P. Liu
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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.

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Ling-Ling Xue, D. Levi, Q. P. Liu. 2013-11-01. Supersymmetric KdV equation: Darboux transformation and discrete systems. https://doi.org/10.1088/1751-8113/46/50/502001

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