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Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions

S. Krivonos·A. Pashnev·Z. Popowicz
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Abstract

We present the Lax operator for the N=3 KdV hierarchy and consider its extensions. We also construct a new infinite family of N=2 supersymmetric hierarchies by exhibiting the corresponding super Lax operators. The new realization of N=4 supersymmetry on the two general N=2 superfields, bosonic spin 1 and fermionic spin 1/2, is discussed.

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S. Krivonos, A. Pashnev, Z. Popowicz. 1998-01-30. Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions. https://doi.org/10.1142/s0217732398001510

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