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Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies

Ashok Das·Sergey Krivonos·Ziemowit Popowicz
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Abstract

We present a systematic procedure for obtaining the dispersionless limit of a class of N=1 supersymmetric systems starting from the Lax description of their dispersive counterparts. This is achieved by starting with an N=2 supersymmetric system and scaling the fields in an alternative manner so as to maintain N=1 supersymmetry. We illustrate our method by working out explicitly the examples of the dispersionless supersymmetric two boson hierarchy and the dispersionless supersymmetric Boussinesq hierarchy.

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Ashok Das, Sergey Krivonos, Ziemowit Popowicz. 2002-04-26. Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies. https://doi.org/10.1016/s0375-9601(02)01087-3

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