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


Gungor F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.32, ss.977-988, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 6
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1088/0305-4470/32/6/010
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.977-988

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.