Potential equivalence transformations for nonlinear diffusionconvection equations
Abstract
Potential equivalence transformations (PETs) are effectively applied to a class of nonlinear diffusionconvection 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 nonlocal transformations between equations under consideration are nothing but PETs. Action of PETs on sets of exact solutions of a fast diffusion equation is investigated.
 Publication:

arXiv eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:mathph/0402066
 Bibcode:
 2004math.ph...2066P
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 35K57;
 35C05;
 58J70
 EPrint:
 10 pages