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

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.

8 pages, LaTex

References in corpus (1)

• Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy

Cited by in corpus (5)

• Supersymmetric Extensions of the Harry Dym Hierarchy
• Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra
• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies
• On gauge-equivalent formulations of N=4 SKdV hierarchy