dorsal/arxiv
View SchemaThe Hamiltonian structure of the dispersionless Toda hierarchy
| Authors | D. B. Fairlie, I. A. B. Strachan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9502003 |
| URL | https://arxiv.org/abs/solv-int/9502003 |
| DOI | 10.1016/0167-2789(95)00229-4 |
| Journal | Physica D: Vol 90, Issues 1-2 (1996), 1-8 |
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.
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"abstract": "The Hamiltonian structure of the two-dimensional dispersionless Toda\nhierarchy is studied, this being a particular example of a system of\nhydrodynamic type. The polynomial conservation laws for the system turn out,\nafter a change of variable, to be associated with the axially symmetric\nsolutions of the 3-dimensional Laplace equation and this enables a generating\nfunction for the Hamiltonian densities to be derived in closed form.",
"arxiv_id": "solv-int/9502003",
"authors": [
"D. B. Fairlie",
"I. A. B. Strachan"
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"categories": [
"solv-int",
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"doi": "10.1016/0167-2789(95)00229-4",
"journal_ref": "Physica D: Vol 90, Issues 1-2 (1996), 1-8",
"title": "The Hamiltonian structure of the dispersionless Toda hierarchy",
"url": "https://arxiv.org/abs/solv-int/9502003"
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