Potential equivalence transformations for nonlinear diffusion-convection equations

Details Potential equivalence transformations for nonlinear diffusion-convection equations Potential equivalence transformations for nonlinear diffusion-convection equations

2004-02-24

arxiv.org/abs/math-ph/0402066v2

J. Phys. A: Math. Gen., 2005, V.38, N 14, 3145-3155

Physics

Mathematical Physics

10 pages

Scientific paper

10.1088/0305-4470/38/14/006

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.

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