On the Heisenberg Supermagnet Model in (2+1)-Dimensions

被引：8
作者：
Yan, Zhao-Wen [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2017年 / 72卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Backlund Transformations; Gage Transformation; Heisenberg Supermagnet Model; SPIN CHAIN; SUPERSYMMETRIC EXTENSION; INTEGRABLE DEFORMATIONS; SCHRODINGER-EQUATION; 2+1 DIMENSIONS; LAX PAIRS; HIERARCHY; EQUIVALENCE; FERROMAGNET; CURVES;
D O I：
10.1515/zna-2016-0397
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The Heisenberg supermagnet model is an important supersymmetric integrable system in (1 + 1)-dimensions. We construct two types of the (2 + 1)-dimensional integrable Heisenberg supermagnet models with the quadratic constraints and investigate the integrability of the systems. In terms of the gage transformation, we derive their gage equivalent counterparts. Furthermore, we also construct new solutions of the supersymmetric integrable systems by means of the Backlund transformations.
引用
收藏
页码：331 / 337
页数：7
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