B\"acklund-Darboux Transformations and Discretizations of $N=2\; a=-2$ Supersymmetric KdV Equation
Exactly Solvable and Integrable Systems
2018-01-17 v1
Abstract
The supersymmetric KdV equation is studied. A Darboux transformation and the corresponding B\"acklund transformation are constructed for this equation. Also, a nonlinear superposition formula is worked out for the associated B\"acklund transformation. The B\"{a}cklund transformation and the related nonlinear superposition formula are used to construct integrable super semi-discrete and full discrete systems. The continuum limits of these discrete systems are also considered.
Keywords
Cite
@article{arxiv.1705.03997,
title = {B\"acklund-Darboux Transformations and Discretizations of $N=2\; a=-2$ Supersymmetric KdV Equation},
author = {Hui Mao and Q. P. Liu},
journal= {arXiv preprint arXiv:1705.03997},
year = {2018}
}
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12 pages