Nonlinear equations invariant under Poincare, similitude and conformal group in three-dimensional spacetime

Gungor F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.31, no.2, pp.697-706, 1998 (SCI-Expanded) identifier identifier


This paper is devoted to a systematic construction of second-order differential equations invariant under the Poincare, sill!similitude and conformal groups in three-dimensional spacetime. A classification of all possible realizations of the Lie algebras under the action of the group of local diffeomorphisms of R-4 is presented. Then by means of the differential invariants the most general invariant differential equations of second order are constructed.