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

Abstract

We present two different Lax operators for a manifestly N=2 supersymmetric extension of "a=-2" Boussinesq hierarchy . The first is the supersymmetric generalization of the Lax operator of the Modified KdV equation. The second is the generalization of the supersymmetric Lax operator of the N=2 supersymmetric a=-2 KdV system. The gauge transformation of the first Lax operator provide the Miura link between the "small" N=4 supersymmetric conformal algebra and the supersymmetric $W_3$ algebra .

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References in corpus (1)

• On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra

Cited by in corpus (3)

• Supersymmetric Moyal-Lax Representations
• Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions
• Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax operator