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

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Gungor F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.32, no.6, pp.977-988, 1999 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 32 Issue: 6
• Publication Date: 1999
• Doi Number: 10.1088/0305-4470/32/6/010
• Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.977-988
• Istanbul Technical University Affiliated: No

Abstract

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.