N=2 SUSY two-boson KP hierarchy, (derivative) NLS equation and miura transformations

  • S. Krivonos
  • Z. Popowicz
Supersymmetric Quantum Mechanics And Integrable Systems

DOI: 10.1007/BFb0104606

Part of the Lecture Notes in Physics book series (LNP, volume 524)
Cite this paper as:
Krivonos S., Popowicz Z. (1999) N=2 SUSY two-boson KP hierarchy, (derivative) NLS equation and miura transformations. In: Wess J., Ivanov E.A. (eds) Supersymmetries and Quantum Symmetries. Lecture Notes in Physics, vol 524. Springer, Berlin, Heidelberg

Abstract

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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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • S. Krivonos
    • 1
  • Z. Popowicz
    • 2
  1. 1.JINR-Bogoliubov Laboratory of Theoretical PhysicsDubna, Moscow RegionRussia
  2. 2.Institute of Theoretical PhysicsUniversity of WroclawWroclawPoland

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