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

Gungor F.

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


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.