A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension

作者：Tian Kai^*; Popowicz Ziemowit; Liu Q P

来源：Journal of Physics A-Mathematical and Theoretical, 2012, 45(12): 122001.

DOI：10.1088/1751-8113/45/12/122001

For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of the Korteweg-de Vries (KdV) equation through a reciprocal transformation. By supersymmetrizing this Lax operator, a new N = 2 supersymmetric extension of the Harry Dym hierarchy is constructed, and is further shown to be linked to one of the N = 2 supersymmetric KdV equations through the superconformal transformation. The bosonic limit of this new N = 2 supersymmetric Harry Dym equation is related to a coupled system of KdV-MKdV equations.

• 出版日期2012-3-30
• 单位中国矿业大学（北京）