Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence
Date
2007
Authors
Hajek, B.H.
Edwards, M.
Broadbridge, P.
Williams, G.
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Nonlinear Analysis, Theory, Methods and Applications, 2007; 67(9):2541-2552
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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. © 2006 Elsevier Ltd. All rights reserved.
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