A Supersymmetric AKNS Problem and Its Darboux-Backlund Transformations and Discrete Systems
A Supersymmetric AKNS Problem and Its Darboux-Backlund Transformations and Discrete Systems
复制标题
超对称AKNS问题及其Darboux-Backlund变换和离散系统
DOI：
10.1111/sapm.12080
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发表时间：
2015
影响因子：
2.7
通讯作者：
Q. P. Liu
中科院分区：
文献类型：
--
作者：
Lingling Xue;Q. P. Liu
本文考虑一类超对称AKNS谱问题。构造了两个初等达布变换和一个二元达布变换。利用约化方法，给出了超对称修正的Korteweg-de Vries方程、Sinh-Gordon方程和非线性薛定谔方程的Darboux变换和Bäck lund变换。利用这些Darboux变换和Bäck lund变换构造了可积离散超系统，并给出了半离散和全离散系统。并求出了相关离散系统的连续极限。
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 Bäcklund transformations are given for the supersymmetric modified Korteweg‐de Vries, sinh‐Gordon, and nonlinear Schrödinger equations. These Darboux and Bäcklund 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.