THE CONSERVATION-LAWS AND INTEGRALS OF MOTION FOR A CERTAIN CLASS OF EQUATIONS IN DISCRETE MODELS

Authors
KLIMEK M
Citation
M. Klimek, THE CONSERVATION-LAWS AND INTEGRALS OF MOTION FOR A CERTAIN CLASS OF EQUATIONS IN DISCRETE MODELS, Journal of physics. A, mathematical and general, 29(8), 1996, pp. 1747-1758
Citations number
23
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
8
Year of publication
1996
Pages
1747 - 1758
Database
ISI
SICI code
0305-4470(1996)29:8<1747:TCAIOM>2.0.ZU;2-J
Abstract
We derive the conservation laws for a wide class of discrete equations , including the q-deformations of classical field-theoretic equations. The explicit expressions for the conserved currents are used in the c onstruction of the integrals of motion. The procedure is applied to th e nonlinear difference equation and to the q-wave equations in D = 3 a nd D = 4.