N=2 SUSY two-boson KP hierarchy, (derivative) NLS equation and miura transformations
We present the N=2 supersymmetric extensions of the derivative NLS equation and quadratic two-boson KP hierarchy. We propose the KP-like Lax operators in terms of the N=2 superfields which reproduce all conserved currents through the non-standard Lax representations. The connection of these derivative supersymmetric NLS equations with the N=2, a=4 super-KdV hierarchy is established.
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