Bulg. J. Phys. vol.33 no.s2 (2006), pp. 227-230
Reduction Operators of Nonlinear Filtration Equation
O.Vaneeva
Institute of Mathematics of National Academy of Sciences of Ukraine, 3, Tereshchenkivska Str., Kyiv-4, 01601, Ukraine
go backInstitute of Mathematics of National Academy of Sciences of Ukraine, 3, Tereshchenkivska Str., Kyiv-4, 01601, Ukraine
Abstract. The nonclassical symmetries of the nonlinear filtration equation having the special value 1/vx of the filtration coefficient are completely classified with respect to the Lie symmetry group of this equation. As a result, new wide classes of nonclassical symmetries and non-Lie exact solutions of this equation are constructed.