Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We study from a Hamiltonian point of view the generalized dispersionless KdV hierarchy of equations. From the so called dispersionless Lax representation of these equations we obtain three compatible Hamiltonian structures. The second and third Hamiltonian structures are calculated directly from the r-matrix approach. Since the third structure is not related recursively with the first two ones the generalized dispersionless KdV hierarchy can be characterized as a truly tri-Hamiltonian system.
Cite
@article{arxiv.solv-int/9601001,
title = {Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy},
author = {J. C. Brunelli},
journal= {arXiv preprint arXiv:solv-int/9601001},
year = {2009}
}
Comments
16 pages, plain TeX