Potential equivalence transformations for nonlinear diffusion-convection equations
Mathematical Physics
2007-05-23 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
Potential equivalence transformations (PETs) are effectively applied to a class of nonlinear diffusion-convection equations. For this class all possible potential symmetries are classified and a theorem on connection of them with point ones via PETs is also proved. It is shown that the known non-local transformations between equations under consideration are nothing but PETs. Action of PETs on sets of exact solutions of a fast diffusion equation is investigated.
Cite
@article{arxiv.math-ph/0402066,
title = {Potential equivalence transformations for nonlinear diffusion-convection equations},
author = {Roman O. Popovych and Nataliya M. Ivanova},
journal= {arXiv preprint arXiv:math-ph/0402066},
year = {2007}
}
Comments
10 pages