109 citations · 460 across the 16 of their papers we have counts for
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math.AP2008★ 21 cited
Singular reduction operators in two dimensions
Michael Kunzinger, Roman O. Popovych
The notion of singular reduction operators, i.e., of singular operators of nonclassical (conditional) symmetry, of partial differential equations in two independent variables is in…
math.AP2008★ 17 cited
Local conservation laws of second-order evolution equations
Roman O. Popovych, Anatoly M. Samoilenko
Generalizing results by Bryant and Griffiths [Duke Math. J., 1995, V.78, 531-676], we completely describe local conservation laws of second-order (1+1)-dimensional evolution equati…
math.AP2007★ 24 cited
Reduction Operators of Linear Second-Order Parabolic Equations
Roman O. Popovych
The reduction operators, i.e., the operators of nonclassical (conditional) symmetry, of (1+1)-dimensional second order linear parabolic partial differential equations and all the p…