Potential equivalence transformations for nonlinear diffusion-convection equations
arXiv:math-ph/0402066 · doi:10.1088/0305-4470/38/14/006
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.
10 pages