Potential equivalence transformations for nonlinear diffusion-convection equations

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dc.creatorPopovych, Roman O.
dc.creatorIvanova, Nataliya M.
dc.date2004-02-24
dc.date2005-03-16
dc.date.accessioned2026-07-07T04:30:59Z
dc.date.available2026-07-07T04:30:59Z
dc.descriptionPotential 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0402066
dc.identifierhttp://arxiv.org/abs/math-ph/0402066
dc.identifierJ. Phys. A: Math. Gen., 2005, V.38, N 14, 3145-3155
dc.identifierdoi:10.1088/0305-4470/38/14/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57662
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject35K57; 35C05; 58J70
dc.titlePotential equivalence transformations for nonlinear diffusion-convection equations
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