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arXiv · 1705.03997

Bäcklund-Darboux Transformations and Discretizations of $N=2\; a=-2$ Supersymmetric KdV Equation

Hui Mao·Q. P. Liu
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Abstract

The $N=2 \;a=-2$ supersymmetric KdV equation is studied. A Darboux transformation and the corresponding Bäcklund transformation are constructed for this equation. Also, a nonlinear superposition formula is worked out for the associated Bäcklund transformation. The Bäcklund 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.

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Hui Mao, Q. P. Liu. 2017-05-11. Bäcklund-Darboux Transformations and Discretizations of $N=2\; a=-2$ Supersymmetric KdV Equation. https://doi.org/10.1016/j.physleta.2017.11.034

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