Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation
High Energy Physics - Theory
2015-06-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9505041,
title = {Bi-Hamiltonian Structure of the Supersymmetric Nonlinear Schrodinger Equation},
author = {J. C. Brunelli and Ashok Das},
journal= {arXiv preprint arXiv:hep-th/9505041},
year = {2015}
}
Comments
13 pages, plain TeX