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- W37802726 abstract "The non-linear diffusion eqaution, describing the vertical transfer of both heat and moisture in the absence of solutes are considered. Lie symmetries of the equation are obtained for some specific form of diffusion coefficient. The group properties of diffusion equation ∂u ∂t + ∂ ∂�x � D(u) ∂ux � =0 , (1) (where u = u(� t), D(u) are real functions) describing nonlinear processes of heat conductivity are investigated by many authors [1–3]. In the present paper we investigate a particular case of eq.(1), where u is vector function and D(u) is a non-singular matrix, defining the diffusive properties of the soil. Recently, such systems have been extensively studied, from both mathematical and biological viewpoints [4, 5]. It is motivated by a successful application of these models to a wide range of developmental and ecological systems. We will analyze symmetry properties of given" @default.
- W37802726 created "2016-06-24" @default.
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- W37802726 date "1997-01-01" @default.
- W37802726 modified "2023-09-26" @default.
- W37802726 title "On Symmetries of a Generalized Dif fusion Equation" @default.
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