THE HAMILTONIAN-STRUCTURE OF THE DISPERSIONLESS TODA HIERARCHY

Authors
FAIRLIE DB STRACHAN IAB
Citation
Db. Fairlie et Iab. Strachan, THE HAMILTONIAN-STRUCTURE OF THE DISPERSIONLESS TODA HIERARCHY, Physica. D, 90(1-2), 1996, pp. 1-8
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
90
Issue
1-2
Year of publication
1996
Pages
1 - 8
Database
ISI
SICI code
0167-2789(1996)90:1-2<1:THOTDT>2.0.ZU;2-M
Abstract
The Hamiltonian structure of the two-dimensional dispersionless Toda h ierarchy is studied, this being a particular example of a system of hy drodynamic type. The polynomial conservation laws for the system turn out, after a change of variable, to be associated with the axially sym metric solutions of the 3-dimensional Laplace equation and this enable s a generating function for the Hamiltonian densities to be derived in closed form.