Symmetries of discrete dynamical systems involving two species

Authors
Gomez-Ullate, D Lafortune, S Winternitz, P
Citation
D. Gomez-ullate et al., Symmetries of discrete dynamical systems involving two species, J MATH PHYS, 40(6), 1999, pp. 2782-2804
Citations number
15
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
6
Year of publication
1999
Pages
2782 - 2804
Database
ISI
SICI code
0022-2488(199906)40:6<2782:SODDSI>2.0.ZU;2-U
Abstract
The Lie point symmetries of a coupled system of two nonlinear differential- difference equations are investigated. It is shown that in special cases th e symmetry group can be infinite dimensional, in other cases up to ten dime nsional. The equations can describe the interaction of two long molecular c hains, each involving one type of atoms. (C) 1999 American Institute of Phy sics. [S0022-2488(99)03206-5].