Group Analysis of Variable Coefficient Diffusion-Convection Equations. IV. Potential Symmetries
Ivanova, N. M. · Popovych, R. O. · Sophocleous, C.
Original · EN
This paper completes investigation of symmetry properties of nonlinear variable coefficient diffusion-convection equations of the form f(x)uₜ=(g(x)A(u)uₓ)ₓ+h(x)B(u)uₓ. Potential symmetries of equations from the considered class are found and the connection of them with Lie symmetries of diffusion-type equations is shown. Exact solutions of the Fujita--Storm equation uₜ=(u⁻²uₓ)ₓ are constructed.
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