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

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

2011-10-10

arxiv.org/abs/1110.2023v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of 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 superconformal transformation. The bosonic limit of this new N=2 supersymmetric Harry Dym equation is related to a coupled system of KdV-MKdV equations.

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