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arXiv · hep-th/9505041

Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation

J. C. Brunelli·Ashok Das
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Abstract

We show that the supersymmetric nonlinear Schrödinger 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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J. C. Brunelli, Ashok Das. 1995-05-08. Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation. https://doi.org/10.1142/s0217732395002179

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