Fairlie, D.B. and Strachan, I.A.B. (1996) The Hamiltonian structure of the dispersionless Toda hierarchy. Physica D: Nonlinear Phenomena, 90(1-2), pp. 1-8. (doi: 10.1016/0167-2789(95)00229-4)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Strachan, Professor Ian |
| Authors: | Fairlie, D.B., and Strachan, I.A.B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Physica D: Nonlinear Phenomena |
| Publisher: | Elsevier |
| ISSN: | 0167-2789 |
| ISSN (Online): | 1872-8022 |
| Published Online: | 10 February 1999 |
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