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


Gungor F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.31, ss.697-706, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31 Konu: 2
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1088/0305-4470/31/2/025
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.697-706

Özet

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.