Nonlinear Evolution Equations Invariant Under Schroedinger Group in three-dimensional Space-time
solv-int
2009-10-31 v2 Exactly Solvable and Integrable Systems
Abstract
A classification of all possible realizations of the Galilei, Galilei-similitude and Schroedinger Lie algebras in three-dimensional space-time in terms of vector fields under the action of the group of local diffeomorphisms of the space is presented. Using this result a variety of general second order evolution equations invariant under the corresponding groups are constructed and their physical significance are discussed.
Cite
@article{arxiv.solv-int/9811015,
title = {Nonlinear Evolution Equations Invariant Under Schroedinger Group in three-dimensional Space-time},
author = {Faruk Gungor},
journal= {arXiv preprint arXiv:solv-int/9811015},
year = {2009}
}