Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation

Details Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation

1995-05-08

arxiv.org/abs/hep-th/9505041v1

Mod.Phys.Lett. A10 (1995) 2019-2028

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, plain TeX

Scientific paper

We show that the supersymmetric nonlinear Schr\"odinger equation is a bi-Hamiltonian integrable system. We obtain the two Hamiltonian structures of the theory from the ones of the supersymmetric two boson hierarchy through a field redefinition. We also show how the two Hamiltonian structures of the supersymmetric KdV equation can be derived from a Hamiltonian reduction of the supersymmetric two boson hierarchy as well.

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