KDV and NLS Equations as Tri-Hamiltonian Systems
High Energy Physics - Theory
2007-05-23 v1
Abstract
We show that the KdV and the NLS equations are tri-Hamiltonian systems. We obtain the third Hamiltonian structure for these systems and prove Jacobi identity through the method of prolongation. The compatibility of the Hamiltonian structures is verified directly through prolongation as well as through the shifting of the variables. We comment on the properties of the recursion operator as well as the connection with the two boson hierarchy.
Cite
@article{arxiv.hep-th/9410165,
title = {KDV and NLS Equations as Tri-Hamiltonian Systems},
author = {J. C. Brunelli and Ashok Das},
journal= {arXiv preprint arXiv:hep-th/9410165},
year = {2007}
}
Comments
17 pages, plain TeX, preprint UR-1391, ER-40685-840