Supersymmetric Extensions of the Harry Dym Hierarchy
Exactly Solvable and Integrable Systems
2015-06-26 v1 High Energy Physics - Theory
Abstract
We study the supersymmetric extensions of the Harry Dym hierarchy of equations. We obtain the susy-B extension, the doubly susy-B extension as well as the N=1 and the N=2 supersymmetric extensions for this system. The N=2 supersymmetric extension is particularly interesting, since it leads to new classical integrable systems in the bosonic limit. We prove the integrability of these systems through the bi-Hamiltonian formulation of integrable models and through the Lax description. We also discuss the supersymmetric extension of the Hunter-Zheng equation which belongs to the Harry Dym hierarchy of equations.
Keywords
Cite
@article{arxiv.nlin/0304047,
title = {Supersymmetric Extensions of the Harry Dym Hierarchy},
author = {J. C. Brunelli and Ashok Das and Ziemowit Popowicz},
journal= {arXiv preprint arXiv:nlin/0304047},
year = {2015}
}
Comments
15 pages, Latex file