Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy

2007 ◽  
Vol 152 (1) ◽  
pp. 915-925 ◽  
Author(s):  
Yu-Tung Chen ◽  
Jen-Hsu Chang ◽  
Ming-Hsien Tu
Keyword(s):  
Bäcklund Transformations ◽  
Additional Symmetries ◽  
Backlund Transformations

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

2017 ◽  
Vol 72 (4) ◽  
pp. 331-337 ◽  
Author(s):  
Zhao-Wen Yan
Keyword(s):  
Integrable System ◽  
Integrable Systems ◽  
Bäcklund Transformations ◽  
Quadratic Constraints ◽  
Backlund Transformations

AbstractThe 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 Bäcklund transformations.

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