Supersymmetric KdV equation: Darboux transformation and discrete systems

被引：23
|
作者：
Xue, Ling-Ling [1 ]
Levi, D. [2 ,3 ]
Liu, Q. P. [1 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] Univ Roma Tre, Dipartimento Matemat & Fis, I-00146 Rome, Italy
[3] Sez INFN Roma Tre, I-00146 Rome, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 50期
基金：
中国国家自然科学基金;
关键词：
DE-VRIES EQUATION; EXTENSION;
D O I：
10.1088/1751-8113/46/50/502001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
For the supersymmetric KdV equation, a proper Darboux transformation is presented. This Darboux transformation leads to the Backlund transformation found earlier by Liu and Xie (2004 Phys. Lett. A 325 139-43). The Darboux transformation and the related Backlund transformation are used to construct integrable super differential-difference and difference-difference systems. The continuum limits of these discrete systems and of their Lax pairs are also considered.
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页数：11
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