The non-classical solution of the inhomogeneous non-linear diffusion equation
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摘要
A complete classification of the symmetry reductions of the inhomogeneous nonlinear diffusion (INLD) equation using the non-classical method leads to one family of symmetry generators. The resulting ordinary differential equation is of second order and non-linear. New solutions are obtained for some physical processes corresponding to particular values of n and p, m.
论文关键词:Diffusion for nonhomogeneous media,Conditional symmetries,Soliton-like solutions
论文评审过程:Available online 23 February 1999.
论文官网地址:https://doi.org/10.1016/S0096-3003(97)10158-8