Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation
Exactly Solvable and Integrable Systems
2012-09-05 v1 Mathematical Physics
math.MP
Abstract
We obtain a bi-Hamiltonian formulation for the Ostrovsky-Vakhnenko equation using its higher order symmetry and a new transformation to the Caudrey-Dodd-Gibbon-Sawada-Kotera equation. Central to this derivation is the relation between Hamiltonian structures when dependent and independent variables are transformed.
Cite
@article{arxiv.1202.5129,
title = {Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation},
author = {Jose Carlos Brunelli and Sergei Sakovich},
journal= {arXiv preprint arXiv:1202.5129},
year = {2012}
}
Comments
13 pages