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

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Atıf İçin Kopyala

Gungor F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.31, sa.2, ss.697-706, 1998 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 31 Sayı: 2
• Basım Tarihi: 1998
• Doi Numarası: 10.1088/0305-4470/31/2/025
• Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.697-706
• İstanbul Teknik Üniversitesi Adresli: Hayır

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.