A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory

Authors
Bruce, AT McLenaghan, RG Smirnov, RG
Citation
At. Bruce et al., A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory, Z ANG MATH, 52(2), 2001, pp. 171-190
Citations number
45
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
52
Issue
2
Year of publication
2001
Pages
171 - 190
Database
ISI
SICI code
0044-2275(200103)52:2<171:ASSOTT>2.0.ZU;2-J
Abstract
Integrability of the Toda lattice is studied in the framework of the Hamilt on-Jacobi theory of separation of variables. It is shown based on the Benen ti theory that only the two dimensional, non-periodic Toda lattice is separ able in the sense of the existence of a point transformation to a separable system of coordinates. The separation of variables is exhibited in this ca se explicitly.