109 citations · 291 across the 9 of their papers we have counts for
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math-ph2004★ 59 cited
Hierarchy of Conservation Laws of Diffusion--Convection Equations
Roman O. Popovych, Nataliya M. Ivanova
We introduce notions of equivalence of conservation laws with respect to Lie symmetry groups for fixed systems of differential equations and with respect to equivalence groups or s…
math-ph2004★ 32 cited
Potential equivalence transformations for nonlinear diffusion-convection equations
Roman O. Popovych, Nataliya M. Ivanova
Potential equivalence transformations (PETs) are effectively applied to a class of nonlinear diffusion-convection equations. For this class all possible potential symmetries are cl…