105 citations · 664 across the 25 of their papers we have counts for
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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…
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…
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…
On Linearizing Systems of Diffusion Equations
Christodoulos Sophocleous, Ron J. Wiltshire
We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class…