The transformations between N=2 supersymmetric KdV and HD equations

TL;DR

This paper demonstrates how N=2 superconformal transformations connect different supersymmetric integrable systems, specifically linking supersymmetric Harry Dym equations with modified KdV and KdV equations.

Contribution

It introduces a method using N=2 superconformal transformations to relate supersymmetric integrable equations, revealing new connections between known equations.

Findings

N=2 supersymmetric Harry Dym equations are transformed into modified KdV equations.

Established a link between supersymmetric Harry Dym and KdV equations via superconformal transformations.

Provided a new approach to relate different supersymmetric integrable systems.

Abstract

The N=2 supercomformal transformations are employed to study supersymmetric integrable systems. It is proved that two known N=2 supersymmetric Harry Dym equations are transformed into two N=2 supersymmetric modified Kortweg-de Vries equations, thus are connected with two N=2 supersymmetric Kortweg-de Vries equations.