The Bi-Hamiltonian Structure of the Short Pulse Equation
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
We prove the integrability of the short pulse equation derived recently by Sch\"afer and Wayne from a hamiltonian point of view. We give its bi-hamiltonian structure and show how the recursion operator defined by the hamiltonian operators is connected with the one obtained by Sakovich and Sakovich. An alternative zero-curvature formulation is also given.
Keywords
Cite
@article{arxiv.nlin/0601014,
title = {The Bi-Hamiltonian Structure of the Short Pulse Equation},
author = {Jose Carlos Brunelli},
journal= {arXiv preprint arXiv:nlin/0601014},
year = {2009}
}
Comments
Latex file, 7 pages, to appear in Physics Letter A