Year: 2005
Type: article
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 their connection with point symmetries via PETs is also proved. It is shown that the known nonlocal transformations between equations under consideration are nothing but PETs. The action of PETs on sets of exact solutions of a fast diffusion equation is investigated.
Authors: Roman O Popovych, Nataliya M Ivanova
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1966899119