A Supersymmetric AKNS Problem and Its Darboux-Backlund Transformations and Discrete Systems

作者：Xue, Lingling; Liu, Q. P.^*

来源：Studies in Applied Mathematics, 2015, 135(1): 35-62.

DOI：10.1111/sapm.12080

• EQUATIONS

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 Backlund transformations are given for the supersymmetric modified Korteweg-de Vries, sinh-Gordon, and nonlinear Schrodinger equations. These Darboux and Backlund transformations are adopted for the constructions of integrable discrete super systems, and both semidiscrete and fully discrete systems are presented. Also, the continuum limits of the relevant discrete systems are worked out.

• 出版日期2015-7
• 单位中国矿业大学（北京）; 宁波大学