NONLINEAR EQUATIONS INVARIANT UNDER POINCARE, SIMILITUDE AND CONFORMAL-GROUP IN 3-DIMENSIONAL SPACETIME

Authors
GUNGOR F
Citation
F. Gungor, NONLINEAR EQUATIONS INVARIANT UNDER POINCARE, SIMILITUDE AND CONFORMAL-GROUP IN 3-DIMENSIONAL SPACETIME, Journal of physics. A, mathematical and general, 31(2), 1998, pp. 697-706
Citations number
6
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
2
Year of publication
1998
Pages
697 - 706
Database
ISI
SICI code
0305-4470(1998)31:2<697:NEIUPS>2.0.ZU;2-G
Abstract
This paper is devoted to a systematic construction of second-order dif ferential equations invariant under the Poincare, sill!similitude and conformal groups in three-dimensional spacetime. A classification of a ll possible realizations of the Lie algebras under the action of the g roup of local diffeomorphisms of R-4 is presented. Then by means of th e differential invariants the most general invariant differential equa tions of second order are constructed.