%0 Journal Article
%T A supersymmetric AKNS problem and its Darboux-B£¿cklund transformations and discrete systems
%A Lingling Xue
%A Q. P. Liu
%J Physics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1501.06127v1