Nonlinear evolution equations invariant under the Schrodinger group in three-dimensional spacetime

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Atıf İçin Kopyala

Gungor F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.32, sa.6, ss.977-988, 1999 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 32 Sayı: 6
• Basım Tarihi: 1999
• Doi Numarası: 10.1088/0305-4470/32/6/010
• Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.977-988
• İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

A classification of all possible realizations of the Galilei, Galilei-similitude and Schrodinger Lie algebras in three-dimensional spacetime in terms of vector fields under the action of the group of local diffeomorphisms of the space R-3 x C is presented. Using this result a variety of second-order evolution equations invariant under the corresponding groups are constructed and their physical significance is discussed.