105 citations · 755 across the 31 of their papers we have counts for
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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…
math-ph2006★ 105 cited
Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych +1
A class of variable coefficient (1+1)-dimensional nonlinear reaction-diffusion equations of the general form is investigated. Different kinds of eq…