Solutions and symmetry reductions of the radially symmetric non-Newtonian polytropic filtration equations
2011
This paper discusses a class of radially symmetric nonlinear diffusion equations, known as non-Newtonian polytropic filtration equations. It is shown that the equations admit certain types of second-order conditional Lie-Backlund symmetries. As a result, exact solutions and symmetry reductions of the resulting equations are obtained. The behavior of extinction and blow-up to many of the solutions are also described.
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