Point symmetries of generalized Toda field theories: II. Symmetry reduction

Authors
Martina, L Lafortune, S Winternitz, P
Citation
L. Martina et al., Point symmetries of generalized Toda field theories: II. Symmetry reduction, J PHYS A, 33(36), 2000, pp. 6431-6446
Citations number
35
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
36
Year of publication
2000
Pages
6431 - 6446
Database
ISI
SICI code
0305-4470(20000915)33:36<6431:PSOGTF>2.0.ZU;2-7
Abstract
The Lie symmetries of a large class of generalized Toda field theories are studied and used to perform symmetry reduction. Reductions lead to generali zed Toda lattices, on one hand, and to periodic systems, on the other. Boun dary conditions are introduced to reduce theories on an infinite lattice to those on semi-infinite or finite ones.