A supersymmetric AKNS problem and its Darboux-B\"acklund transformations and discrete systems
Exactly Solvable and Integrable Systems
2016-02-19 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider a supersymmetric AKNS spectral problem. Two elementary and a binary Darboux transformations are constructed. By means of reductions, Darboux and B\"acklund transformations are given for the supersymmetric modified Korteweg-de Vries, sinh-Gordon and nonlinear Schr\"odinger equations. These Darboux and B\"acklund transformations are adopted for the constructions of integrable discrete super systems, and both semi-discrete and fully discrete systems are presented. Also, the continuum limits of the relevant discrete systems are worked out.
Cite
@article{arxiv.1501.06127,
title = {A supersymmetric AKNS problem and its Darboux-B\"acklund transformations and discrete systems},
author = {Lingling Xue and Q. P. Liu},
journal= {arXiv preprint arXiv:1501.06127},
year = {2016}
}
Comments
27 pages, Studies in Applied Mathematics (to appear)