Reduction operators and exact solutions of generalized Burgers equations
Mathematical Physics
2015-06-03 v1 Analysis of PDEs
math.MP
Abstract
Reduction operators of generalized Burgers equations are studied. A connection between these equations and potential fast diffusion equations with power nonlinearity -1 via reduction operators is established. Exact solutions of generalized Burgers equations are constructed using this connection and known solutions of the constant-coefficient potential fast diffusion equation.
Keywords
Cite
@article{arxiv.1112.6394,
title = {Reduction operators and exact solutions of generalized Burgers equations},
author = {Oleksandr A. Pocheketa and Roman O. Popovych},
journal= {arXiv preprint arXiv:1112.6394},
year = {2015}
}
Comments
7 pages