33 citations · 62 across the 3 of their papers we have counts for
3 papers
nlin.SI2009
Reduction operators of variable coefficient semilinear diffusion equations with a power source
O. O. Vaneeva, R. O. Popovych, C. Sophocleous
Reduction operators (called often nonclassical symmetries) of variable coefficient semilinear reaction-diffusion equations with power nonlinearity ($m…
math-ph2006★ 29 cited
Exact Solutions of a Remarkable Fin Equation
R. O. Popovych, C. Sophocleous, O. O. Vaneeva
A model "remarkable" fin equation is singled out from a class of nonlinear (1+1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means o…
math-ph2006★ 33 cited
Group Analysis of Nonlinear Fin Equations
O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych +1
Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. Th…