The Supersymmetric Two Boson Hierarchies

Details The Supersymmetric Two Boson Hierarchies The Supersymmetric Two Boson Hierarchies

1994-06-30

arxiv.org/abs/hep-th/9406214v1

Phys.Lett. B337 (1994) 303-307

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, plain TeX, University of Rochester UR-1362, ER-40685-812

Scientific paper

10.1016/0370-2693(94)90979-2

We construct the most general supersymmetric two boson system that is integrable. We obtain the Lax operator and the nonstandard Lax representation for this system. We show that, under appropriate redefinition of variables, this reduces to the supersymmetric nonlinear Schr\"odinger equation without any arbitrary parameter which is known to be integrable. We show that this supersymmetric system has three local Hamiltonian structures just like the bosonic counterpart and we show how the supersymmetric KdV equation can be embedded into this system.

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