Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation
Exactly Solvable and Integrable Systems
2009-02-25 v1
Abstract
The conditions for a generalized Burgers equation which a priori involves nine arbitrary functions of one, or two variables to allow an infinite dimensional symmetry algebra are determined. Though this algebra can involve up to two arbitrary functions of time, it does not allow a Virasoro algebra. This result confirms that variable coefficient generalizations of a non-integrable equation should be expected to remain as such.
Keywords
Cite
@article{arxiv.0902.4156,
title = {Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation},
author = {F. Gungor},
journal= {arXiv preprint arXiv:0902.4156},
year = {2009}
}
Comments
11 pages, submitted