New approach to Bäcklund transformations for a curve and its pedal curve

2018 ◽  
Vol 30 (1-2) ◽  
pp. 209-216 ◽  
Author(s):  
Muhammed T. Sarıaydın ◽  
Talat Körpınar
Keyword(s):  
Bäcklund Transformations ◽  
New Approach ◽  
Backlund Transformations ◽  
Pedal Curve

Auto-Bäcklund Transformations Derived via the Implicit C-D Pair

2012 ◽  
Vol 268-270 ◽  
pp. 1345-1348
Author(s):  
Xiao Li Wang ◽  
Jian Qin Mei ◽  
Zhen Hua Wu
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Bäcklund Transformations ◽  
New Approach ◽  
Backlund Transformations

By the implicit C-D pairs, a new approach to auto-B¨acklund transformations of nonlinear evolution equations is presented in this paper. The auto-B¨acklund transformations for combined KdV and MKdV equations are obtained by this approach.

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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