Towards classification of quasi-local symmetries of evolution equations
Exactly Solvable and Integrable Systems
2009-01-07 v1 Pattern Formation and Solitons
Abstract
We develop efficient group-theoretical approach to the problem of classification of evolution equations that admit non-local transformation groups (quasi-local symmetries), i.e., groups involving integrals of the dependent variable. We classify realizations of two- and three-dimensional Lie algebras leading to equations admitting quasi-local symmetries. Finally, we generalize the approach in question for the case of an arbitrary system of evolution equations with two independent variables.
Keywords
Cite
@article{arxiv.0901.0578,
title = {Towards classification of quasi-local symmetries of evolution equations},
author = {Renat Zhdanov},
journal= {arXiv preprint arXiv:0901.0578},
year = {2009}
}
Comments
21 pages, LaTeX2e