SEPARABLE HAMILTONIANS AND INTEGRABLE SYSTEMS OF HYDRODYNAMIC TYPE

Citation
Ev. Ferapontov et Ap. Fordy, SEPARABLE HAMILTONIANS AND INTEGRABLE SYSTEMS OF HYDRODYNAMIC TYPE, Journal of geometry and physics, 21(2), 1997, pp. 169-182
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
ISSN journal
03930440
Volume
21
Issue
2
Year of publication
1997
Pages
169 - 182
Database
ISI
SICI code
0393-0440(1997)21:2<169:SHAISO>2.0.ZU;2-H
Abstract
We exhibit a surprising relationship between separable Hamiltonians an d integrable, linearly degenerate systems of hydrodynamic type. This g ives a new way of obtaining the general solution of the latter Our for mulae also lead to interesting canonical transformations between large classes of Stackel systems.