Premium
A Supersymmetric AKNS Problem and Its Darboux‐Bäcklund Transformations and Discrete Systems
Author(s) -
Xue Lingling,
Liu Q. P.
Publication year - 2015
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12080
Subject(s) - integrable system , mathematics , nonlinear system , darboux integral , mathematical physics , binary number , algebra over a field , pure mathematics , physics , geometry , quantum mechanics , curvature , arithmetic
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.