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math-ph2017★ 6 cited
Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model
Roman Cherniha, Vasyl' Davydovych, John R. King
A generalisation of the Lie symmetry method is applied to classify a coupled system of reaction-diffusion equations wherein the nonlinearities involve arbitrary functions in the li…
math-ph2014
Lie and conditional symmetries of a class of nonlinear (1+2)-dimensional boundary value problems
Roman Cherniha, John R King
A new definition of conditional invariance for boundary value problems involving a wide range of boundary conditions (including initial value problems as a special case) is propose…