Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844408 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 12 Pages |
Abstract
Nonclassical 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.
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Authors
B.H. Bradshaw-Hajek, M.P. Edwards, P. Broadbridge, G.H. Williams,