The Hamiltonian structure of the dispersionless Toda hierarchy
solv-int
2020-12-16 v1 Exactly Solvable and Integrable Systems
Abstract
The Hamiltonian structure of the two-dimensional dispersionless Toda hierarchy is studied, this being a particular example of a system of hydrodynamic type. The polynomial conservation laws for the system turn out, after a change of variable, to be associated with the axially symmetric solutions of the 3-dimensional Laplace equation and this enables a generating function for the Hamiltonian densities to be derived in closed form.
Keywords
Cite
@article{arxiv.solv-int/9502003,
title = {The Hamiltonian structure of the dispersionless Toda hierarchy},
author = {D. B. Fairlie and I. A. B. Strachan},
journal= {arXiv preprint arXiv:solv-int/9502003},
year = {2020}
}
Comments
12 pages, latex, no figures