The Hamiltonian structure of the dispersionless Toda hierarchy

D. B. Fairlie; I. A. B. Strachan

doi:10.1016/0167-2789(95)00229-4

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The Hamiltonian structure of the dispersionless Toda hierarchy

D. B. Fairlie·I. A. B. Strachan

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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.

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D. B. Fairlie, I. A. B. Strachan. 1995-02-13. The Hamiltonian structure of the dispersionless Toda hierarchy. https://doi.org/10.1016/0167-2789(95)00229-4

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