Hajek, B.H.Edwards, M.Broadbridge, P.Williams, G.2025-12-172025-12-172007Nonlinear Analysis, Theory, Methods and Applications, 2007; 67(9):2541-25520362-546X1873-5215https://hdl.handle.net/1959.8/87159Nonclassical symmetry methods are used to study the linear diffusion equation with a nonlinear source term which includes explicit spatial dependence. Mathematical forms for the spatial dependence are found which enable strictly nonclassical symmetries to be admitted when the nonlinearity is cubic. A number of new exact solutions are constructed, and an application of one of these solutions to diploid population genetics is discussed. © 2006 Elsevier Ltd. All rights reserved.enCopyright status unknownMATHEMATICAL SCIENCESASCED:010100Journal article10.1016/j.na.2006.09.022