Roman O Popovych and Nataliya M Ivanova 2005 J. Phys. A: Math. Gen. 38 3145 doi:10.1088/0305-4470/38/14/006
Roman O Popovych and Nataliya M Ivanova
Show affiliationsPotential 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.
17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
Issue 14 (8 April 2005)
Received 10 September 2004, in final form 8 February 2005
Published 21 March 2005
Roman O Popovych and Nataliya M Ivanova 2005 J. Phys. A: Math. Gen. 38 3145
Roman O Popovych and Nataliya M Ivanova 2004 J. Phys. A: Math. Gen. 37 7547
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