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

Hui Mao; Q. P. Liu

doi:10.1016/j.physleta.2017.11.034

paper

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

arXiv:1705.03997 · doi:10.1016/j.physleta.2017.11.034

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.

12 pages

Bäcklund-Darboux Transformations and Discretizations of N=2a=−2 Supersymmetric KdV Equation

Abstract

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