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

Abstract

A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N=2 super $W_n$ algebra. It is shown that the Poisson algebra associated to the second Hamiltonian structure for the resulted hierarchy contains the N=2 super Virasoro algebra as a proper subalgebra. The simplest cases are discussed in detail. In particular, it is proved that the supersymmetric two-boson hierarchy is one of N=2 supersymmetric KdV hierarchies. Also, a Lax operator is supplied for one of N=2 supersymmetric Boussinesq hierarchies.

11 pages, AMS-LaTex, to appear in Phys. Lett. A

Cited by in corpus (7)

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• Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies
• Dispersionless sTB
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• A novel Hirota bilinear approach to $N=2$ supersymmetric equations
• A N=2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation
• Completion of the integrable coupling systems