The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers’ equations

2012 ◽  
Vol 42 (1-2) ◽  
pp. 159-170 ◽  
Author(s):  
Hanze Liu ◽  
Jibin Li ◽  
Lei Liu
Keyword(s):  
Operator Method ◽  
Recursion Operator ◽  
Bäcklund Transformations ◽  
Burgers Equations ◽  
Generalized 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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