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A Note on Reciprocal Transformations of Two Super Integrable Equations
Kai Tian *
Department of Mathematics,China University of Mining and Technology,Beijing, 100083, P. R. China
*Correspondence author
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Funding: Specialized Research Fund for the Doctoral Program of Higher Education （No.20120023120006）
Opened online:18 May 2016
Accepted by: none
Citation: Kai Tian.A Note on Reciprocal Transformations of Two Super Integrable Equations[OL]. [18 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4688354
 
 
The super Korteweg-de Vries equation, first proposed by Kupershmidt in 1984, is changed into a super extension of the Schwarzian Korteweg-de Vries equation by proper changes of variables. Furthermore based on a simple conservation law, a reciprocal transformation is defined and generates a super Harry Dym equation from the super Schwarzian KdV equation. For a supersymmetric Harry Dym equation first constructed by Brunelli, Das and Popowicz in 2003, a reciprocal transformation is established on its component form and converts the supersymmetric Harry Dym equation to a super equation which is not supersymmetric.
Keywords:Super Korteweg-de Vries, Super Harry Dym, Reciprocal transformation
 
 
 

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