The Hamiltonian structure of the dispersionless Toda hierarchy

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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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
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
ISSN (Online):1872-8022
Published Online:10 February 1999

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